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Finding the Fourth Proportional to 10,725.92, 14,801.76 and 6,010.23

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Solution

The fourth proportional to 10,725.92, 14,801.76 and 6,010.23 is: 8,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.92 : 14,801.76 = 6,010.23 : x
  2. Step 2: Convert to fraction form
    10,725.92/14,801.76 = 6,010.23/x
  3. Step 3: Cross multiply
    10,725.92x = 14,801.76 × 6,010.23
  4. Step 4: Simplify right side
    10,725.92x = 88,961,982.00
  5. Step 5: Solve for x
    x = 88,961,982.00/10,725.92
  6. Step 6: Final answer
    x = 8,294.11

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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.