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Finding the Fourth Proportional to 8,578.34, 12,868.86 and 3,648

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Solution

The fourth proportional to 8,578.34, 12,868.86 and 3,648 is: 5,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.34 : 12,868.86 = 3,648 : x
  2. Step 2: Convert to fraction form
    8,578.34/12,868.86 = 3,648/x
  3. Step 3: Cross multiply
    8,578.34x = 12,868.86 × 3,648
  4. Step 4: Simplify right side
    8,578.34x = 46,945,601.28
  5. Step 5: Solve for x
    x = 46,945,601.28/8,578.34
  6. Step 6: Final answer
    x = 5,472.57

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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.