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Finding the Fourth Proportional to 10,455.20, 15,664.52 and 8,711.40

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Solution

The fourth proportional to 10,455.20, 15,664.52 and 8,711.40 is: 13,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.20 : 15,664.52 = 8,711.40 : x
  2. Step 2: Convert to fraction form
    10,455.20/15,664.52 = 8,711.40/x
  3. Step 3: Cross multiply
    10,455.20x = 15,664.52 × 8,711.40
  4. Step 4: Simplify right side
    10,455.20x = 136,459,899.53
  5. Step 5: Solve for x
    x = 136,459,899.53/10,455.20
  6. Step 6: Final answer
    x = 13,051.87

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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.