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Finding the Fourth Proportional to 6,781.60, 10,176.72 and 2,886

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Solution

The fourth proportional to 6,781.60, 10,176.72 and 2,886 is: 4,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.60 : 10,176.72 = 2,886 : x
  2. Step 2: Convert to fraction form
    6,781.60/10,176.72 = 2,886/x
  3. Step 3: Cross multiply
    6,781.60x = 10,176.72 × 2,886
  4. Step 4: Simplify right side
    6,781.60x = 29,370,013.92
  5. Step 5: Solve for x
    x = 29,370,013.92/6,781.60
  6. Step 6: Final answer
    x = 4,330.84

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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.