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Finding the Fourth Proportional to 7,872.69, 11,810.13 and 2,326.50

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Solution

The fourth proportional to 7,872.69, 11,810.13 and 2,326.50 is: 3,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.69 : 11,810.13 = 2,326.50 : x
  2. Step 2: Convert to fraction form
    7,872.69/11,810.13 = 2,326.50/x
  3. Step 3: Cross multiply
    7,872.69x = 11,810.13 × 2,326.50
  4. Step 4: Simplify right side
    7,872.69x = 27,476,267.45
  5. Step 5: Solve for x
    x = 27,476,267.45/7,872.69
  6. Step 6: Final answer
    x = 3,490.07

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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.