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Finding the Fourth Proportional to 8,656.57, 13,006.27 and 5,537.97

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Solution

The fourth proportional to 8,656.57, 13,006.27 and 5,537.97 is: 8,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.57 : 13,006.27 = 5,537.97 : x
  2. Step 2: Convert to fraction form
    8,656.57/13,006.27 = 5,537.97/x
  3. Step 3: Cross multiply
    8,656.57x = 13,006.27 × 5,537.97
  4. Step 4: Simplify right side
    8,656.57x = 72,028,339.99
  5. Step 5: Solve for x
    x = 72,028,339.99/8,656.57
  6. Step 6: Final answer
    x = 8,320.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.