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Finding the Fourth Proportional to 10,580.54, 15,872.25 and 3,655.58

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Solution

The fourth proportional to 10,580.54, 15,872.25 and 3,655.58 is: 5,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.54 : 15,872.25 = 3,655.58 : x
  2. Step 2: Convert to fraction form
    10,580.54/15,872.25 = 3,655.58/x
  3. Step 3: Cross multiply
    10,580.54x = 15,872.25 × 3,655.58
  4. Step 4: Simplify right side
    10,580.54x = 58,022,279.66
  5. Step 5: Solve for x
    x = 58,022,279.66/10,580.54
  6. Step 6: Final answer
    x = 5,483.87

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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.