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Finding the Fourth Proportional to 7,821.92, 10,790.64 and 4,508

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Solution

The fourth proportional to 7,821.92, 10,790.64 and 4,508 is: 6,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.92 : 10,790.64 = 4,508 : x
  2. Step 2: Convert to fraction form
    7,821.92/10,790.64 = 4,508/x
  3. Step 3: Cross multiply
    7,821.92x = 10,790.64 × 4,508
  4. Step 4: Simplify right side
    7,821.92x = 48,644,205.12
  5. Step 5: Solve for x
    x = 48,644,205.12/7,821.92
  6. Step 6: Final answer
    x = 6,218.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.