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Finding the Fourth Proportional to 8,441.53, 12,661.11 and 2,894.78

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Solution

The fourth proportional to 8,441.53, 12,661.11 and 2,894.78 is: 4,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.53 : 12,661.11 = 2,894.78 : x
  2. Step 2: Convert to fraction form
    8,441.53/12,661.11 = 2,894.78/x
  3. Step 3: Cross multiply
    8,441.53x = 12,661.11 × 2,894.78
  4. Step 4: Simplify right side
    8,441.53x = 36,651,128.01
  5. Step 5: Solve for x
    x = 36,651,128.01/8,441.53
  6. Step 6: Final answer
    x = 4,341.77

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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.