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Finding the Fourth Proportional to 7,423.97, 10,255.75 and 5,929.92

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Solution

The fourth proportional to 7,423.97, 10,255.75 and 5,929.92 is: 8,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.97 : 10,255.75 = 5,929.92 : x
  2. Step 2: Convert to fraction form
    7,423.97/10,255.75 = 5,929.92/x
  3. Step 3: Cross multiply
    7,423.97x = 10,255.75 × 5,929.92
  4. Step 4: Simplify right side
    7,423.97x = 60,815,762.22
  5. Step 5: Solve for x
    x = 60,815,762.22/7,423.97
  6. Step 6: Final answer
    x = 8,191.82

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