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Finding the Fourth Proportional to 8,597.57, 11,864.82 and 4,871.57

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Solution

The fourth proportional to 8,597.57, 11,864.82 and 4,871.57 is: 6,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.57 : 11,864.82 = 4,871.57 : x
  2. Step 2: Convert to fraction form
    8,597.57/11,864.82 = 4,871.57/x
  3. Step 3: Cross multiply
    8,597.57x = 11,864.82 × 4,871.57
  4. Step 4: Simplify right side
    8,597.57x = 57,800,217.49
  5. Step 5: Solve for x
    x = 57,800,217.49/8,597.57
  6. Step 6: Final answer
    x = 6,722.86

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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.