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Finding the Fourth Proportional to 10,520.16, 15,767.26 and 5,836.20

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Solution

The fourth proportional to 10,520.16, 15,767.26 and 5,836.20 is: 8,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.16 : 15,767.26 = 5,836.20 : x
  2. Step 2: Convert to fraction form
    10,520.16/15,767.26 = 5,836.20/x
  3. Step 3: Cross multiply
    10,520.16x = 15,767.26 × 5,836.20
  4. Step 4: Simplify right side
    10,520.16x = 92,020,882.81
  5. Step 5: Solve for x
    x = 92,020,882.81/10,520.16
  6. Step 6: Final answer
    x = 8,747.10

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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.