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Finding the Fourth Proportional to 11,375.87, 15,714 and 10,314.81

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Solution

The fourth proportional to 11,375.87, 15,714 and 10,314.81 is: 14,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.87 : 15,714 = 10,314.81 : x
  2. Step 2: Convert to fraction form
    11,375.87/15,714 = 10,314.81/x
  3. Step 3: Cross multiply
    11,375.87x = 15,714 × 10,314.81
  4. Step 4: Simplify right side
    11,375.87x = 162,086,924.34
  5. Step 5: Solve for x
    x = 162,086,924.34/11,375.87
  6. Step 6: Final answer
    x = 14,248.32

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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.