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Finding the Fourth Proportional to 10,115.10, 13,952.81 and 7,873.43

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Solution

The fourth proportional to 10,115.10, 13,952.81 and 7,873.43 is: 10,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.10 : 13,952.81 = 7,873.43 : x
  2. Step 2: Convert to fraction form
    10,115.10/13,952.81 = 7,873.43/x
  3. Step 3: Cross multiply
    10,115.10x = 13,952.81 × 7,873.43
  4. Step 4: Simplify right side
    10,115.10x = 109,856,422.76
  5. Step 5: Solve for x
    x = 109,856,422.76/10,115.10
  6. Step 6: Final answer
    x = 10,860.64

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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.