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Finding the Fourth Proportional to 7,675.21, 11,445.02 and 6,741.97

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Solution

The fourth proportional to 7,675.21, 11,445.02 and 6,741.97 is: 10,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.21 : 11,445.02 = 6,741.97 : x
  2. Step 2: Convert to fraction form
    7,675.21/11,445.02 = 6,741.97/x
  3. Step 3: Cross multiply
    7,675.21x = 11,445.02 × 6,741.97
  4. Step 4: Simplify right side
    7,675.21x = 77,161,981.49
  5. Step 5: Solve for x
    x = 77,161,981.49/7,675.21
  6. Step 6: Final answer
    x = 10,053.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.