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Finding the Fourth Proportional to 8,982.92, 12,397.10 and 5,207.10

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Solution

The fourth proportional to 8,982.92, 12,397.10 and 5,207.10 is: 7,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.92 : 12,397.10 = 5,207.10 : x
  2. Step 2: Convert to fraction form
    8,982.92/12,397.10 = 5,207.10/x
  3. Step 3: Cross multiply
    8,982.92x = 12,397.10 × 5,207.10
  4. Step 4: Simplify right side
    8,982.92x = 64,552,913.37
  5. Step 5: Solve for x
    x = 64,552,913.37/8,982.92
  6. Step 6: Final answer
    x = 7,186.19

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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.