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Finding the Fourth Proportional to 10,041.67, 13,857.47 and 5,565.38

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Solution

The fourth proportional to 10,041.67, 13,857.47 and 5,565.38 is: 7,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.67 : 13,857.47 = 5,565.38 : x
  2. Step 2: Convert to fraction form
    10,041.67/13,857.47 = 5,565.38/x
  3. Step 3: Cross multiply
    10,041.67x = 13,857.47 × 5,565.38
  4. Step 4: Simplify right side
    10,041.67x = 77,121,989.27
  5. Step 5: Solve for x
    x = 77,121,989.27/10,041.67
  6. Step 6: Final answer
    x = 7,680.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.