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Finding the Fourth Proportional to 10,296.54, 15,444.90 and 2,505.42

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Solution

The fourth proportional to 10,296.54, 15,444.90 and 2,505.42 is: 3,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.54 : 15,444.90 = 2,505.42 : x
  2. Step 2: Convert to fraction form
    10,296.54/15,444.90 = 2,505.42/x
  3. Step 3: Cross multiply
    10,296.54x = 15,444.90 × 2,505.42
  4. Step 4: Simplify right side
    10,296.54x = 38,695,961.36
  5. Step 5: Solve for x
    x = 38,695,961.36/10,296.54
  6. Step 6: Final answer
    x = 3,758.15

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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.