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Finding the Fourth Proportional to 10,044.81, 13,854.38 and 6,456.51

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Solution

The fourth proportional to 10,044.81, 13,854.38 and 6,456.51 is: 8,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.81 : 13,854.38 = 6,456.51 : x
  2. Step 2: Convert to fraction form
    10,044.81/13,854.38 = 6,456.51/x
  3. Step 3: Cross multiply
    10,044.81x = 13,854.38 × 6,456.51
  4. Step 4: Simplify right side
    10,044.81x = 89,450,910.73
  5. Step 5: Solve for x
    x = 89,450,910.73/10,044.81
  6. Step 6: Final answer
    x = 8,905.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.