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Finding the Fourth Proportional to 10,731.92, 14,822.16 and 7,323.08

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Solution

The fourth proportional to 10,731.92, 14,822.16 and 7,323.08 is: 10,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.92 : 14,822.16 = 7,323.08 : x
  2. Step 2: Convert to fraction form
    10,731.92/14,822.16 = 7,323.08/x
  3. Step 3: Cross multiply
    10,731.92x = 14,822.16 × 7,323.08
  4. Step 4: Simplify right side
    10,731.92x = 108,543,789.34
  5. Step 5: Solve for x
    x = 108,543,789.34/10,731.92
  6. Step 6: Final answer
    x = 10,114.11

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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.