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Finding the Fourth Proportional to 10,725.91, 14,801.47 and 6,010.49

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Solution

The fourth proportional to 10,725.91, 14,801.47 and 6,010.49 is: 8,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.91 : 14,801.47 = 6,010.49 : x
  2. Step 2: Convert to fraction form
    10,725.91/14,801.47 = 6,010.49/x
  3. Step 3: Cross multiply
    10,725.91x = 14,801.47 × 6,010.49
  4. Step 4: Simplify right side
    10,725.91x = 88,964,087.42
  5. Step 5: Solve for x
    x = 88,964,087.42/10,725.91
  6. Step 6: Final answer
    x = 8,294.32

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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.