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Finding the Fourth Proportional to 8,669.50, 13,005.60 and 2,824.74

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Solution

The fourth proportional to 8,669.50, 13,005.60 and 2,824.74 is: 4,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.50 : 13,005.60 = 2,824.74 : x
  2. Step 2: Convert to fraction form
    8,669.50/13,005.60 = 2,824.74/x
  3. Step 3: Cross multiply
    8,669.50x = 13,005.60 × 2,824.74
  4. Step 4: Simplify right side
    8,669.50x = 36,737,438.54
  5. Step 5: Solve for x
    x = 36,737,438.54/8,669.50
  6. Step 6: Final answer
    x = 4,237.55

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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.