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Finding the Fourth Proportional to 8,425.47, 11,626.37 and 8,142.38

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Solution

The fourth proportional to 8,425.47, 11,626.37 and 8,142.38 is: 11,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.47 : 11,626.37 = 8,142.38 : x
  2. Step 2: Convert to fraction form
    8,425.47/11,626.37 = 8,142.38/x
  3. Step 3: Cross multiply
    8,425.47x = 11,626.37 × 8,142.38
  4. Step 4: Simplify right side
    8,425.47x = 94,666,223.72
  5. Step 5: Solve for x
    x = 94,666,223.72/8,425.47
  6. Step 6: Final answer
    x = 11,235.72

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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.