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Finding the Fourth Proportional to 7,429.67, 10,247.04 and 6,314.30

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Solution

The fourth proportional to 7,429.67, 10,247.04 and 6,314.30 is: 8,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.67 : 10,247.04 = 6,314.30 : x
  2. Step 2: Convert to fraction form
    7,429.67/10,247.04 = 6,314.30/x
  3. Step 3: Cross multiply
    7,429.67x = 10,247.04 × 6,314.30
  4. Step 4: Simplify right side
    7,429.67x = 64,702,853.10
  5. Step 5: Solve for x
    x = 64,702,853.10/7,429.67
  6. Step 6: Final answer
    x = 8,708.71

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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.