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Finding the Fourth Proportional to 10,641.86, 15,960.72 and 4,066.49

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Solution

The fourth proportional to 10,641.86, 15,960.72 and 4,066.49 is: 6,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.86 : 15,960.72 = 4,066.49 : x
  2. Step 2: Convert to fraction form
    10,641.86/15,960.72 = 4,066.49/x
  3. Step 3: Cross multiply
    10,641.86x = 15,960.72 × 4,066.49
  4. Step 4: Simplify right side
    10,641.86x = 64,904,028.47
  5. Step 5: Solve for x
    x = 64,904,028.47/10,641.86
  6. Step 6: Final answer
    x = 6,098.94

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