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Finding the Fourth Proportional to 10,171.68, 15,259.84 and 3,931.74

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Solution

The fourth proportional to 10,171.68, 15,259.84 and 3,931.74 is: 5,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.68 : 15,259.84 = 3,931.74 : x
  2. Step 2: Convert to fraction form
    10,171.68/15,259.84 = 3,931.74/x
  3. Step 3: Cross multiply
    10,171.68x = 15,259.84 × 3,931.74
  4. Step 4: Simplify right side
    10,171.68x = 59,997,735.61
  5. Step 5: Solve for x
    x = 59,997,735.61/10,171.68
  6. Step 6: Final answer
    x = 5,898.51

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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.