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Finding the Fourth Proportional to 10,159.60, 15,232.20 and 3,917.20

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Solution

The fourth proportional to 10,159.60, 15,232.20 and 3,917.20 is: 5,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.60 : 15,232.20 = 3,917.20 : x
  2. Step 2: Convert to fraction form
    10,159.60/15,232.20 = 3,917.20/x
  3. Step 3: Cross multiply
    10,159.60x = 15,232.20 × 3,917.20
  4. Step 4: Simplify right side
    10,159.60x = 59,667,573.84
  5. Step 5: Solve for x
    x = 59,667,573.84/10,159.60
  6. Step 6: Final answer
    x = 5,873.02

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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.