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Finding the Fourth Proportional to 10,084.56, 15,129.12 and 3,159.12

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Solution

The fourth proportional to 10,084.56, 15,129.12 and 3,159.12 is: 4,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.56 : 15,129.12 = 3,159.12 : x
  2. Step 2: Convert to fraction form
    10,084.56/15,129.12 = 3,159.12/x
  3. Step 3: Cross multiply
    10,084.56x = 15,129.12 × 3,159.12
  4. Step 4: Simplify right side
    10,084.56x = 47,794,705.57
  5. Step 5: Solve for x
    x = 47,794,705.57/10,084.56
  6. Step 6: Final answer
    x = 4,739.39

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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.