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Finding the Fourth Proportional to 10,462.47, 15,675.22 and 5,521.20

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Solution

The fourth proportional to 10,462.47, 15,675.22 and 5,521.20 is: 8,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.47 : 15,675.22 = 5,521.20 : x
  2. Step 2: Convert to fraction form
    10,462.47/15,675.22 = 5,521.20/x
  3. Step 3: Cross multiply
    10,462.47x = 15,675.22 × 5,521.20
  4. Step 4: Simplify right side
    10,462.47x = 86,546,024.66
  5. Step 5: Solve for x
    x = 86,546,024.66/10,462.47
  6. Step 6: Final answer
    x = 8,272.05

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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.