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Finding the Fourth Proportional to 8,854.29, 12,212.62 and 5,825.76

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Solution

The fourth proportional to 8,854.29, 12,212.62 and 5,825.76 is: 8,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.29 : 12,212.62 = 5,825.76 : x
  2. Step 2: Convert to fraction form
    8,854.29/12,212.62 = 5,825.76/x
  3. Step 3: Cross multiply
    8,854.29x = 12,212.62 × 5,825.76
  4. Step 4: Simplify right side
    8,854.29x = 71,147,793.09
  5. Step 5: Solve for x
    x = 71,147,793.09/8,854.29
  6. Step 6: Final answer
    x = 8,035.40

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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.