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Finding the Fourth Proportional to 10,895.77, 15,034.92 and 6,114.73

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Solution

The fourth proportional to 10,895.77, 15,034.92 and 6,114.73 is: 8,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.77 : 15,034.92 = 6,114.73 : x
  2. Step 2: Convert to fraction form
    10,895.77/15,034.92 = 6,114.73/x
  3. Step 3: Cross multiply
    10,895.77x = 15,034.92 × 6,114.73
  4. Step 4: Simplify right side
    10,895.77x = 91,934,476.37
  5. Step 5: Solve for x
    x = 91,934,476.37/10,895.77
  6. Step 6: Final answer
    x = 8,437.63

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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.