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Finding the Fourth Proportional to 8,290.46, 11,445.06 and 6,397.78

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Solution

The fourth proportional to 8,290.46, 11,445.06 and 6,397.78 is: 8,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.46 : 11,445.06 = 6,397.78 : x
  2. Step 2: Convert to fraction form
    8,290.46/11,445.06 = 6,397.78/x
  3. Step 3: Cross multiply
    8,290.46x = 11,445.06 × 6,397.78
  4. Step 4: Simplify right side
    8,290.46x = 73,222,975.97
  5. Step 5: Solve for x
    x = 73,222,975.97/8,290.46
  6. Step 6: Final answer
    x = 8,832.20

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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.