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Finding the Fourth Proportional to 10,314.68, 15,470.40 and 3,988.66

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Solution

The fourth proportional to 10,314.68, 15,470.40 and 3,988.66 is: 5,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.68 : 15,470.40 = 3,988.66 : x
  2. Step 2: Convert to fraction form
    10,314.68/15,470.40 = 3,988.66/x
  3. Step 3: Cross multiply
    10,314.68x = 15,470.40 × 3,988.66
  4. Step 4: Simplify right side
    10,314.68x = 61,706,145.72
  5. Step 5: Solve for x
    x = 61,706,145.72/10,314.68
  6. Step 6: Final answer
    x = 5,982.36

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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.