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Finding the Fourth Proportional to 10,867.61, 14,982.83 and 9,760.44

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Solution

The fourth proportional to 10,867.61, 14,982.83 and 9,760.44 is: 13,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.61 : 14,982.83 = 9,760.44 : x
  2. Step 2: Convert to fraction form
    10,867.61/14,982.83 = 9,760.44/x
  3. Step 3: Cross multiply
    10,867.61x = 14,982.83 × 9,760.44
  4. Step 4: Simplify right side
    10,867.61x = 146,238,964.44
  5. Step 5: Solve for x
    x = 146,238,964.44/10,867.61
  6. Step 6: Final answer
    x = 13,456.40

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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.