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Finding the Fourth Proportional to 8,446.48, 12,665.28 and 4,937.68

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Solution

The fourth proportional to 8,446.48, 12,665.28 and 4,937.68 is: 7,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.48 : 12,665.28 = 4,937.68 : x
  2. Step 2: Convert to fraction form
    8,446.48/12,665.28 = 4,937.68/x
  3. Step 3: Cross multiply
    8,446.48x = 12,665.28 × 4,937.68
  4. Step 4: Simplify right side
    8,446.48x = 62,537,099.75
  5. Step 5: Solve for x
    x = 62,537,099.75/8,446.48
  6. Step 6: Final answer
    x = 7,403.92

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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.