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Finding the Fourth Proportional to 10,089.72, 15,134.13 and 3,069.90

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Solution

The fourth proportional to 10,089.72, 15,134.13 and 3,069.90 is: 4,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.72 : 15,134.13 = 3,069.90 : x
  2. Step 2: Convert to fraction form
    10,089.72/15,134.13 = 3,069.90/x
  3. Step 3: Cross multiply
    10,089.72x = 15,134.13 × 3,069.90
  4. Step 4: Simplify right side
    10,089.72x = 46,460,265.69
  5. Step 5: Solve for x
    x = 46,460,265.69/10,089.72
  6. Step 6: Final answer
    x = 4,604.71

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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.