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Finding the Fourth Proportional to 10,894.93, 15,034.12 and 6,179.65

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Solution

The fourth proportional to 10,894.93, 15,034.12 and 6,179.65 is: 8,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.93 : 15,034.12 = 6,179.65 : x
  2. Step 2: Convert to fraction form
    10,894.93/15,034.12 = 6,179.65/x
  3. Step 3: Cross multiply
    10,894.93x = 15,034.12 × 6,179.65
  4. Step 4: Simplify right side
    10,894.93x = 92,905,599.66
  5. Step 5: Solve for x
    x = 92,905,599.66/10,894.93
  6. Step 6: Final answer
    x = 8,527.42

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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.