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Finding the Fourth Proportional to 8,265.28, 12,386.68 and 4,562

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Solution

The fourth proportional to 8,265.28, 12,386.68 and 4,562 is: 6,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.28 : 12,386.68 = 4,562 : x
  2. Step 2: Convert to fraction form
    8,265.28/12,386.68 = 4,562/x
  3. Step 3: Cross multiply
    8,265.28x = 12,386.68 × 4,562
  4. Step 4: Simplify right side
    8,265.28x = 56,508,034.16
  5. Step 5: Solve for x
    x = 56,508,034.16/8,265.28
  6. Step 6: Final answer
    x = 6,836.80

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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.