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Finding the Fourth Proportional to 11,898.16, 16,419.54 and 6,593.32

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Solution

The fourth proportional to 11,898.16, 16,419.54 and 6,593.32 is: 9,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.16 : 16,419.54 = 6,593.32 : x
  2. Step 2: Convert to fraction form
    11,898.16/16,419.54 = 6,593.32/x
  3. Step 3: Cross multiply
    11,898.16x = 16,419.54 × 6,593.32
  4. Step 4: Simplify right side
    11,898.16x = 108,259,281.47
  5. Step 5: Solve for x
    x = 108,259,281.47/11,898.16
  6. Step 6: Final answer
    x = 9,098.83

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