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Finding the Fourth Proportional to 12,046.46, 18,075.15 and 7,125.71

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Solution

The fourth proportional to 12,046.46, 18,075.15 and 7,125.71 is: 10,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.46 : 18,075.15 = 7,125.71 : x
  2. Step 2: Convert to fraction form
    12,046.46/18,075.15 = 7,125.71/x
  3. Step 3: Cross multiply
    12,046.46x = 18,075.15 × 7,125.71
  4. Step 4: Simplify right side
    12,046.46x = 128,798,186.73
  5. Step 5: Solve for x
    x = 128,798,186.73/12,046.46
  6. Step 6: Final answer
    x = 10,691.79

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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.