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Finding the Fourth Proportional to 10,898.97, 16,349.01 and 3,502.86

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Solution

The fourth proportional to 10,898.97, 16,349.01 and 3,502.86 is: 5,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.97 : 16,349.01 = 3,502.86 : x
  2. Step 2: Convert to fraction form
    10,898.97/16,349.01 = 3,502.86/x
  3. Step 3: Cross multiply
    10,898.97x = 16,349.01 × 3,502.86
  4. Step 4: Simplify right side
    10,898.97x = 57,268,293.17
  5. Step 5: Solve for x
    x = 57,268,293.17/10,898.97
  6. Step 6: Final answer
    x = 5,254.47

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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.