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Finding the Fourth Proportional to 10,412.72, 15,618.06 and 5,731.20

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Solution

The fourth proportional to 10,412.72, 15,618.06 and 5,731.20 is: 8,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.72 : 15,618.06 = 5,731.20 : x
  2. Step 2: Convert to fraction form
    10,412.72/15,618.06 = 5,731.20/x
  3. Step 3: Cross multiply
    10,412.72x = 15,618.06 × 5,731.20
  4. Step 4: Simplify right side
    10,412.72x = 89,510,225.47
  5. Step 5: Solve for x
    x = 89,510,225.47/10,412.72
  6. Step 6: Final answer
    x = 8,596.24

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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.