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Finding the Fourth Proportional to 10,282.08, 14,191.92 and 6,034.08

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Solution

The fourth proportional to 10,282.08, 14,191.92 and 6,034.08 is: 8,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.08 : 14,191.92 = 6,034.08 : x
  2. Step 2: Convert to fraction form
    10,282.08/14,191.92 = 6,034.08/x
  3. Step 3: Cross multiply
    10,282.08x = 14,191.92 × 6,034.08
  4. Step 4: Simplify right side
    10,282.08x = 85,635,180.63
  5. Step 5: Solve for x
    x = 85,635,180.63/10,282.08
  6. Step 6: Final answer
    x = 8,328.59

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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.