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Finding the Fourth Proportional to 7,832,641.74, 11,746,301.82 and 2,713,876.98

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Solution

The fourth proportional to 7,832,641.74, 11,746,301.82 and 2,713,876.98 is: 4,069,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,641.74 : 11,746,301.82 = 2,713,876.98 : x
  2. Step 2: Convert to fraction form
    7,832,641.74/11,746,301.82 = 2,713,876.98/x
  3. Step 3: Cross multiply
    7,832,641.74x = 11,746,301.82 × 2,713,876.98
  4. Step 4: Simplify right side
    7,832,641.74x = 31,878,018,109,430.11
  5. Step 5: Solve for x
    x = 31,878,018,109,430.11/7,832,641.74
  6. Step 6: Final answer
    x = 4,069,893.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.