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Finding the Fourth Proportional to 10,391.20, 14,340.20 and 5,675.92

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Solution

The fourth proportional to 10,391.20, 14,340.20 and 5,675.92 is: 7,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.20 : 14,340.20 = 5,675.92 : x
  2. Step 2: Convert to fraction form
    10,391.20/14,340.20 = 5,675.92/x
  3. Step 3: Cross multiply
    10,391.20x = 14,340.20 × 5,675.92
  4. Step 4: Simplify right side
    10,391.20x = 81,393,827.98
  5. Step 5: Solve for x
    x = 81,393,827.98/10,391.20
  6. Step 6: Final answer
    x = 7,832.96

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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.