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Finding the Fourth Proportional to 6,863.60, 10,290.42 and 4,636.87

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Solution

The fourth proportional to 6,863.60, 10,290.42 and 4,636.87 is: 6,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.60 : 10,290.42 = 4,636.87 : x
  2. Step 2: Convert to fraction form
    6,863.60/10,290.42 = 4,636.87/x
  3. Step 3: Cross multiply
    6,863.60x = 10,290.42 × 4,636.87
  4. Step 4: Simplify right side
    6,863.60x = 47,715,314.06
  5. Step 5: Solve for x
    x = 47,715,314.06/6,863.60
  6. Step 6: Final answer
    x = 6,951.93

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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.