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Finding the Fourth Proportional to 8,478.42, 11,703.33 and 6,378.90

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Solution

The fourth proportional to 8,478.42, 11,703.33 and 6,378.90 is: 8,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.42 : 11,703.33 = 6,378.90 : x
  2. Step 2: Convert to fraction form
    8,478.42/11,703.33 = 6,378.90/x
  3. Step 3: Cross multiply
    8,478.42x = 11,703.33 × 6,378.90
  4. Step 4: Simplify right side
    8,478.42x = 74,654,371.74
  5. Step 5: Solve for x
    x = 74,654,371.74/8,478.42
  6. Step 6: Final answer
    x = 8,805.22

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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.