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Finding the Fourth Proportional to 6,708.64, 10,063.78 and 1,778.38

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Solution

The fourth proportional to 6,708.64, 10,063.78 and 1,778.38 is: 2,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.64 : 10,063.78 = 1,778.38 : x
  2. Step 2: Convert to fraction form
    6,708.64/10,063.78 = 1,778.38/x
  3. Step 3: Cross multiply
    6,708.64x = 10,063.78 × 1,778.38
  4. Step 4: Simplify right side
    6,708.64x = 17,897,225.08
  5. Step 5: Solve for x
    x = 17,897,225.08/6,708.64
  6. Step 6: Final answer
    x = 2,667.79

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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.