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Finding the Fourth Proportional to 7,841.60, 11,766.41 and 5,210.92

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Solution

The fourth proportional to 7,841.60, 11,766.41 and 5,210.92 is: 7,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.60 : 11,766.41 = 5,210.92 : x
  2. Step 2: Convert to fraction form
    7,841.60/11,766.41 = 5,210.92/x
  3. Step 3: Cross multiply
    7,841.60x = 11,766.41 × 5,210.92
  4. Step 4: Simplify right side
    7,841.60x = 61,313,821.20
  5. Step 5: Solve for x
    x = 61,313,821.20/7,841.60
  6. Step 6: Final answer
    x = 7,819.04

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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.