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Finding the Fourth Proportional to 7,607.16, 11,394.92 and 3,898.16

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Solution

The fourth proportional to 7,607.16, 11,394.92 and 3,898.16 is: 5,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.16 : 11,394.92 = 3,898.16 : x
  2. Step 2: Convert to fraction form
    7,607.16/11,394.92 = 3,898.16/x
  3. Step 3: Cross multiply
    7,607.16x = 11,394.92 × 3,898.16
  4. Step 4: Simplify right side
    7,607.16x = 44,419,221.35
  5. Step 5: Solve for x
    x = 44,419,221.35/7,607.16
  6. Step 6: Final answer
    x = 5,839.13

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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.