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Finding the Fourth Proportional to 7,234.24, 10,854.24 and 4,313.92

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Solution

The fourth proportional to 7,234.24, 10,854.24 and 4,313.92 is: 6,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.24 : 10,854.24 = 4,313.92 : x
  2. Step 2: Convert to fraction form
    7,234.24/10,854.24 = 4,313.92/x
  3. Step 3: Cross multiply
    7,234.24x = 10,854.24 × 4,313.92
  4. Step 4: Simplify right side
    7,234.24x = 46,824,323.02
  5. Step 5: Solve for x
    x = 46,824,323.02/7,234.24
  6. Step 6: Final answer
    x = 6,472.60

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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.