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Finding the Fourth Proportional to 7,306.97, 10,086.82 and 4,657.87

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Solution

The fourth proportional to 7,306.97, 10,086.82 and 4,657.87 is: 6,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.97 : 10,086.82 = 4,657.87 : x
  2. Step 2: Convert to fraction form
    7,306.97/10,086.82 = 4,657.87/x
  3. Step 3: Cross multiply
    7,306.97x = 10,086.82 × 4,657.87
  4. Step 4: Simplify right side
    7,306.97x = 46,983,059.41
  5. Step 5: Solve for x
    x = 46,983,059.41/7,306.97
  6. Step 6: Final answer
    x = 6,429.89

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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.