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Finding the Fourth Proportional to 12,376.39, 17,075.69 and 7,591.42

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Solution

The fourth proportional to 12,376.39, 17,075.69 and 7,591.42 is: 10,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.39 : 17,075.69 = 7,591.42 : x
  2. Step 2: Convert to fraction form
    12,376.39/17,075.69 = 7,591.42/x
  3. Step 3: Cross multiply
    12,376.39x = 17,075.69 × 7,591.42
  4. Step 4: Simplify right side
    12,376.39x = 129,628,691.89
  5. Step 5: Solve for x
    x = 129,628,691.89/12,376.39
  6. Step 6: Final answer
    x = 10,473.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.