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Finding the Fourth Proportional to 10,490.89, 15,732.36 and 3,468.80

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Solution

The fourth proportional to 10,490.89, 15,732.36 and 3,468.80 is: 5,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.89 : 15,732.36 = 3,468.80 : x
  2. Step 2: Convert to fraction form
    10,490.89/15,732.36 = 3,468.80/x
  3. Step 3: Cross multiply
    10,490.89x = 15,732.36 × 3,468.80
  4. Step 4: Simplify right side
    10,490.89x = 54,572,410.37
  5. Step 5: Solve for x
    x = 54,572,410.37/10,490.89
  6. Step 6: Final answer
    x = 5,201.89

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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.