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Finding the Fourth Proportional to 7,313.85, 10,949.67 and 4,532.13

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Solution

The fourth proportional to 7,313.85, 10,949.67 and 4,532.13 is: 6,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.85 : 10,949.67 = 4,532.13 : x
  2. Step 2: Convert to fraction form
    7,313.85/10,949.67 = 4,532.13/x
  3. Step 3: Cross multiply
    7,313.85x = 10,949.67 × 4,532.13
  4. Step 4: Simplify right side
    7,313.85x = 49,625,327.90
  5. Step 5: Solve for x
    x = 49,625,327.90/7,313.85
  6. Step 6: Final answer
    x = 6,785.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.