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Finding the Fourth Proportional to 8,024.46, 12,038 and 2,476.52

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Solution

The fourth proportional to 8,024.46, 12,038 and 2,476.52 is: 3,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.46 : 12,038 = 2,476.52 : x
  2. Step 2: Convert to fraction form
    8,024.46/12,038 = 2,476.52/x
  3. Step 3: Cross multiply
    8,024.46x = 12,038 × 2,476.52
  4. Step 4: Simplify right side
    8,024.46x = 29,812,347.76
  5. Step 5: Solve for x
    x = 29,812,347.76/8,024.46
  6. Step 6: Final answer
    x = 3,715.18

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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.