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Finding the Fourth Proportional to 6,508, 9,707.15 and 5,455.80

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Solution

The fourth proportional to 6,508, 9,707.15 and 5,455.80 is: 8,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 9,707.15 = 5,455.80 : x
  2. Step 2: Convert to fraction form
    6,508/9,707.15 = 5,455.80/x
  3. Step 3: Cross multiply
    6,508x = 9,707.15 × 5,455.80
  4. Step 4: Simplify right side
    6,508x = 52,960,268.97
  5. Step 5: Solve for x
    x = 52,960,268.97/6,508
  6. Step 6: Final answer
    x = 8,137.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.