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Finding the Fourth Proportional to 10,894.10, 15,033.87 and 6,114.15

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Solution

The fourth proportional to 10,894.10, 15,033.87 and 6,114.15 is: 8,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.10 : 15,033.87 = 6,114.15 : x
  2. Step 2: Convert to fraction form
    10,894.10/15,033.87 = 6,114.15/x
  3. Step 3: Cross multiply
    10,894.10x = 15,033.87 × 6,114.15
  4. Step 4: Simplify right side
    10,894.10x = 91,919,336.26
  5. Step 5: Solve for x
    x = 91,919,336.26/10,894.10
  6. Step 6: Final answer
    x = 8,437.54

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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.