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Finding the Fourth Proportional to 7,185.74, 10,772.13 and 2,567.66

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Solution

The fourth proportional to 7,185.74, 10,772.13 and 2,567.66 is: 3,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.74 : 10,772.13 = 2,567.66 : x
  2. Step 2: Convert to fraction form
    7,185.74/10,772.13 = 2,567.66/x
  3. Step 3: Cross multiply
    7,185.74x = 10,772.13 × 2,567.66
  4. Step 4: Simplify right side
    7,185.74x = 27,659,167.32
  5. Step 5: Solve for x
    x = 27,659,167.32/7,185.74
  6. Step 6: Final answer
    x = 3,849.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.