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Finding the Fourth Proportional to 8,290.55, 11,432.36 and 6,402.44

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Solution

The fourth proportional to 8,290.55, 11,432.36 and 6,402.44 is: 8,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.55 : 11,432.36 = 6,402.44 : x
  2. Step 2: Convert to fraction form
    8,290.55/11,432.36 = 6,402.44/x
  3. Step 3: Cross multiply
    8,290.55x = 11,432.36 × 6,402.44
  4. Step 4: Simplify right side
    8,290.55x = 73,194,909.78
  5. Step 5: Solve for x
    x = 73,194,909.78/8,290.55
  6. Step 6: Final answer
    x = 8,828.72

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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.