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Finding the Fourth Proportional to 10,772.57, 16,130.70 and 10,115.66

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Solution

The fourth proportional to 10,772.57, 16,130.70 and 10,115.66 is: 15,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.57 : 16,130.70 = 10,115.66 : x
  2. Step 2: Convert to fraction form
    10,772.57/16,130.70 = 10,115.66/x
  3. Step 3: Cross multiply
    10,772.57x = 16,130.70 × 10,115.66
  4. Step 4: Simplify right side
    10,772.57x = 163,172,676.76
  5. Step 5: Solve for x
    x = 163,172,676.76/10,772.57
  6. Step 6: Final answer
    x = 15,147.05

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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.