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Finding the Fourth Proportional to 8,655.30, 11,937.78 and 7,462.38

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Solution

The fourth proportional to 8,655.30, 11,937.78 and 7,462.38 is: 10,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.30 : 11,937.78 = 7,462.38 : x
  2. Step 2: Convert to fraction form
    8,655.30/11,937.78 = 7,462.38/x
  3. Step 3: Cross multiply
    8,655.30x = 11,937.78 × 7,462.38
  4. Step 4: Simplify right side
    8,655.30x = 89,084,250.72
  5. Step 5: Solve for x
    x = 89,084,250.72/8,655.30
  6. Step 6: Final answer
    x = 10,292.45

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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.