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Finding the Fourth Proportional to 10,087.62, 15,128.19 and 3,842.93

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Solution

The fourth proportional to 10,087.62, 15,128.19 and 3,842.93 is: 5,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.62 : 15,128.19 = 3,842.93 : x
  2. Step 2: Convert to fraction form
    10,087.62/15,128.19 = 3,842.93/x
  3. Step 3: Cross multiply
    10,087.62x = 15,128.19 × 3,842.93
  4. Step 4: Simplify right side
    10,087.62x = 58,136,499.56
  5. Step 5: Solve for x
    x = 58,136,499.56/10,087.62
  6. Step 6: Final answer
    x = 5,763.15

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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.