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Finding the Fourth Proportional to 7,454.76, 10,287.30 and 4,468.83

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Solution

The fourth proportional to 7,454.76, 10,287.30 and 4,468.83 is: 6,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.76 : 10,287.30 = 4,468.83 : x
  2. Step 2: Convert to fraction form
    7,454.76/10,287.30 = 4,468.83/x
  3. Step 3: Cross multiply
    7,454.76x = 10,287.30 × 4,468.83
  4. Step 4: Simplify right side
    7,454.76x = 45,972,194.86
  5. Step 5: Solve for x
    x = 45,972,194.86/7,454.76
  6. Step 6: Final answer
    x = 6,166.82

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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.