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Finding the Fourth Proportional to 8,770.47, 13,155.71 and 2,614.47

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Solution

The fourth proportional to 8,770.47, 13,155.71 and 2,614.47 is: 3,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.47 : 13,155.71 = 2,614.47 : x
  2. Step 2: Convert to fraction form
    8,770.47/13,155.71 = 2,614.47/x
  3. Step 3: Cross multiply
    8,770.47x = 13,155.71 × 2,614.47
  4. Step 4: Simplify right side
    8,770.47x = 34,395,196.05
  5. Step 5: Solve for x
    x = 34,395,196.05/8,770.47
  6. Step 6: Final answer
    x = 3,921.71

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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.