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Finding the Fourth Proportional to 6,312.24, 8,710.64 and 3,517.68

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Solution

The fourth proportional to 6,312.24, 8,710.64 and 3,517.68 is: 4,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.24 : 8,710.64 = 3,517.68 : x
  2. Step 2: Convert to fraction form
    6,312.24/8,710.64 = 3,517.68/x
  3. Step 3: Cross multiply
    6,312.24x = 8,710.64 × 3,517.68
  4. Step 4: Simplify right side
    6,312.24x = 30,641,244.12
  5. Step 5: Solve for x
    x = 30,641,244.12/6,312.24
  6. Step 6: Final answer
    x = 4,854.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.