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Finding the Fourth Proportional to 8,982.07, 12,394.67 and 5,204.93

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Solution

The fourth proportional to 8,982.07, 12,394.67 and 5,204.93 is: 7,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.07 : 12,394.67 = 5,204.93 : x
  2. Step 2: Convert to fraction form
    8,982.07/12,394.67 = 5,204.93/x
  3. Step 3: Cross multiply
    8,982.07x = 12,394.67 × 5,204.93
  4. Step 4: Simplify right side
    8,982.07x = 64,513,301.73
  5. Step 5: Solve for x
    x = 64,513,301.73/8,982.07
  6. Step 6: Final answer
    x = 7,182.46

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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.