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Finding the Fourth Proportional to 10,420.45, 15,610.32 and 6,452.87

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Solution

The fourth proportional to 10,420.45, 15,610.32 and 6,452.87 is: 9,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.45 : 15,610.32 = 6,452.87 : x
  2. Step 2: Convert to fraction form
    10,420.45/15,610.32 = 6,452.87/x
  3. Step 3: Cross multiply
    10,420.45x = 15,610.32 × 6,452.87
  4. Step 4: Simplify right side
    10,420.45x = 100,731,287.57
  5. Step 5: Solve for x
    x = 100,731,287.57/10,420.45
  6. Step 6: Final answer
    x = 9,666.69

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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.