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Finding the Fourth Proportional to 8,513, 12,757.14 and 6,052.76

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Solution

The fourth proportional to 8,513, 12,757.14 and 6,052.76 is: 9,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513 : 12,757.14 = 6,052.76 : x
  2. Step 2: Convert to fraction form
    8,513/12,757.14 = 6,052.76/x
  3. Step 3: Cross multiply
    8,513x = 12,757.14 × 6,052.76
  4. Step 4: Simplify right side
    8,513x = 77,215,906.71
  5. Step 5: Solve for x
    x = 77,215,906.71/8,513
  6. Step 6: Final answer
    x = 9,070.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.