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Finding the Fourth Proportional to 10,580.74, 15,872.64 and 5,647.68

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Solution

The fourth proportional to 10,580.74, 15,872.64 and 5,647.68 is: 8,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.74 : 15,872.64 = 5,647.68 : x
  2. Step 2: Convert to fraction form
    10,580.74/15,872.64 = 5,647.68/x
  3. Step 3: Cross multiply
    10,580.74x = 15,872.64 × 5,647.68
  4. Step 4: Simplify right side
    10,580.74x = 89,643,591.48
  5. Step 5: Solve for x
    x = 89,643,591.48/10,580.74
  6. Step 6: Final answer
    x = 8,472.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.