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Finding the Fourth Proportional to 11,314.87, 15,614.94 and 6,837.75

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Solution

The fourth proportional to 11,314.87, 15,614.94 and 6,837.75 is: 9,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.87 : 15,614.94 = 6,837.75 : x
  2. Step 2: Convert to fraction form
    11,314.87/15,614.94 = 6,837.75/x
  3. Step 3: Cross multiply
    11,314.87x = 15,614.94 × 6,837.75
  4. Step 4: Simplify right side
    11,314.87x = 106,771,081.63
  5. Step 5: Solve for x
    x = 106,771,081.63/11,314.87
  6. Step 6: Final answer
    x = 9,436.35

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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.