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Finding the Fourth Proportional to 8,610.68, 12,916.02 and 5,101.76

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Solution

The fourth proportional to 8,610.68, 12,916.02 and 5,101.76 is: 7,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.68 : 12,916.02 = 5,101.76 : x
  2. Step 2: Convert to fraction form
    8,610.68/12,916.02 = 5,101.76/x
  3. Step 3: Cross multiply
    8,610.68x = 12,916.02 × 5,101.76
  4. Step 4: Simplify right side
    8,610.68x = 65,894,434.20
  5. Step 5: Solve for x
    x = 65,894,434.20/8,610.68
  6. Step 6: Final answer
    x = 7,652.64

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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.