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Finding the Fourth Proportional to 8,294.47, 12,421.96 and 4,540.66

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Solution

The fourth proportional to 8,294.47, 12,421.96 and 4,540.66 is: 6,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.47 : 12,421.96 = 4,540.66 : x
  2. Step 2: Convert to fraction form
    8,294.47/12,421.96 = 4,540.66/x
  3. Step 3: Cross multiply
    8,294.47x = 12,421.96 × 4,540.66
  4. Step 4: Simplify right side
    8,294.47x = 56,403,854.49
  5. Step 5: Solve for x
    x = 56,403,854.49/8,294.47
  6. Step 6: Final answer
    x = 6,800.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.