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Finding the Fourth Proportional to 7,314.85, 10,096.68 and 4,291.66

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Solution

The fourth proportional to 7,314.85, 10,096.68 and 4,291.66 is: 5,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.85 : 10,096.68 = 4,291.66 : x
  2. Step 2: Convert to fraction form
    7,314.85/10,096.68 = 4,291.66/x
  3. Step 3: Cross multiply
    7,314.85x = 10,096.68 × 4,291.66
  4. Step 4: Simplify right side
    7,314.85x = 43,331,517.69
  5. Step 5: Solve for x
    x = 43,331,517.69/7,314.85
  6. Step 6: Final answer
    x = 5,923.77

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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.