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Finding the Fourth Proportional to 10,391.92, 14,340.90 and 5,676.28

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Solution

The fourth proportional to 10,391.92, 14,340.90 and 5,676.28 is: 7,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.92 : 14,340.90 = 5,676.28 : x
  2. Step 2: Convert to fraction form
    10,391.92/14,340.90 = 5,676.28/x
  3. Step 3: Cross multiply
    10,391.92x = 14,340.90 × 5,676.28
  4. Step 4: Simplify right side
    10,391.92x = 81,402,963.85
  5. Step 5: Solve for x
    x = 81,402,963.85/10,391.92
  6. Step 6: Final answer
    x = 7,833.29

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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.