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Finding the Fourth Proportional to 8,563.29, 11,818.68 and 5,207.16

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Solution

The fourth proportional to 8,563.29, 11,818.68 and 5,207.16 is: 7,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.29 : 11,818.68 = 5,207.16 : x
  2. Step 2: Convert to fraction form
    8,563.29/11,818.68 = 5,207.16/x
  3. Step 3: Cross multiply
    8,563.29x = 11,818.68 × 5,207.16
  4. Step 4: Simplify right side
    8,563.29x = 61,541,793.24
  5. Step 5: Solve for x
    x = 61,541,793.24/8,563.29
  6. Step 6: Final answer
    x = 7,186.70

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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.