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Finding the Fourth Proportional to 8,337.92, 11,506.24 and 4,561.16

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Solution

The fourth proportional to 8,337.92, 11,506.24 and 4,561.16 is: 6,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.92 : 11,506.24 = 4,561.16 : x
  2. Step 2: Convert to fraction form
    8,337.92/11,506.24 = 4,561.16/x
  3. Step 3: Cross multiply
    8,337.92x = 11,506.24 × 4,561.16
  4. Step 4: Simplify right side
    8,337.92x = 52,481,801.64
  5. Step 5: Solve for x
    x = 52,481,801.64/8,337.92
  6. Step 6: Final answer
    x = 6,294.35

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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.