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Finding the Fourth Proportional to 8,730.68, 13,097.64 and 3,540.20

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Solution

The fourth proportional to 8,730.68, 13,097.64 and 3,540.20 is: 5,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.68 : 13,097.64 = 3,540.20 : x
  2. Step 2: Convert to fraction form
    8,730.68/13,097.64 = 3,540.20/x
  3. Step 3: Cross multiply
    8,730.68x = 13,097.64 × 3,540.20
  4. Step 4: Simplify right side
    8,730.68x = 46,368,265.13
  5. Step 5: Solve for x
    x = 46,368,265.13/8,730.68
  6. Step 6: Final answer
    x = 5,310.96

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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.