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Finding the Fourth Proportional to 12,972.57, 17,900.93 and 7,666.38

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Solution

The fourth proportional to 12,972.57, 17,900.93 and 7,666.38 is: 10,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.57 : 17,900.93 = 7,666.38 : x
  2. Step 2: Convert to fraction form
    12,972.57/17,900.93 = 7,666.38/x
  3. Step 3: Cross multiply
    12,972.57x = 17,900.93 × 7,666.38
  4. Step 4: Simplify right side
    12,972.57x = 137,235,293.40
  5. Step 5: Solve for x
    x = 137,235,293.40/12,972.57
  6. Step 6: Final answer
    x = 10,578.88

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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.