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Finding the Fourth Proportional to 10,048.73, 13,864.77 and 6,016.88

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Solution

The fourth proportional to 10,048.73, 13,864.77 and 6,016.88 is: 8,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.73 : 13,864.77 = 6,016.88 : x
  2. Step 2: Convert to fraction form
    10,048.73/13,864.77 = 6,016.88/x
  3. Step 3: Cross multiply
    10,048.73x = 13,864.77 × 6,016.88
  4. Step 4: Simplify right side
    10,048.73x = 83,422,691.98
  5. Step 5: Solve for x
    x = 83,422,691.98/10,048.73
  6. Step 6: Final answer
    x = 8,301.82

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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.