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Finding the Fourth Proportional to 10,388.70, 15,573.42 and 4,147.20

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Solution

The fourth proportional to 10,388.70, 15,573.42 and 4,147.20 is: 6,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.70 : 15,573.42 = 4,147.20 : x
  2. Step 2: Convert to fraction form
    10,388.70/15,573.42 = 4,147.20/x
  3. Step 3: Cross multiply
    10,388.70x = 15,573.42 × 4,147.20
  4. Step 4: Simplify right side
    10,388.70x = 64,586,087.42
  5. Step 5: Solve for x
    x = 64,586,087.42/10,388.70
  6. Step 6: Final answer
    x = 6,216.96

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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.