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Finding the Fourth Proportional to 7,214.80, 10,821.84 and 4,612

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Solution

The fourth proportional to 7,214.80, 10,821.84 and 4,612 is: 6,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.80 : 10,821.84 = 4,612 : x
  2. Step 2: Convert to fraction form
    7,214.80/10,821.84 = 4,612/x
  3. Step 3: Cross multiply
    7,214.80x = 10,821.84 × 4,612
  4. Step 4: Simplify right side
    7,214.80x = 49,910,326.08
  5. Step 5: Solve for x
    x = 49,910,326.08/7,214.80
  6. Step 6: Final answer
    x = 6,917.77

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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.