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Finding the Fourth Proportional to 8,146.47, 12,169.15 and 5,907.53

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Solution

The fourth proportional to 8,146.47, 12,169.15 and 5,907.53 is: 8,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.47 : 12,169.15 = 5,907.53 : x
  2. Step 2: Convert to fraction form
    8,146.47/12,169.15 = 5,907.53/x
  3. Step 3: Cross multiply
    8,146.47x = 12,169.15 × 5,907.53
  4. Step 4: Simplify right side
    8,146.47x = 71,889,557.85
  5. Step 5: Solve for x
    x = 71,889,557.85/8,146.47
  6. Step 6: Final answer
    x = 8,824.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.