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Finding the Fourth Proportional to 10,029.68, 15,045 and 3,789.20

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Solution

The fourth proportional to 10,029.68, 15,045 and 3,789.20 is: 5,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.68 : 15,045 = 3,789.20 : x
  2. Step 2: Convert to fraction form
    10,029.68/15,045 = 3,789.20/x
  3. Step 3: Cross multiply
    10,029.68x = 15,045 × 3,789.20
  4. Step 4: Simplify right side
    10,029.68x = 57,008,514
  5. Step 5: Solve for x
    x = 57,008,514/10,029.68
  6. Step 6: Final answer
    x = 5,683.98

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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.