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Finding the Fourth Proportional to 8,821.60, 13,230.06 and 2,977

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Solution

The fourth proportional to 8,821.60, 13,230.06 and 2,977 is: 4,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.60 : 13,230.06 = 2,977 : x
  2. Step 2: Convert to fraction form
    8,821.60/13,230.06 = 2,977/x
  3. Step 3: Cross multiply
    8,821.60x = 13,230.06 × 2,977
  4. Step 4: Simplify right side
    8,821.60x = 39,385,888.62
  5. Step 5: Solve for x
    x = 39,385,888.62/8,821.60
  6. Step 6: Final answer
    x = 4,464.71

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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.