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Finding the Fourth Proportional to 8,310.40, 12,456.96 and 3,688

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Solution

The fourth proportional to 8,310.40, 12,456.96 and 3,688 is: 5,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.40 : 12,456.96 = 3,688 : x
  2. Step 2: Convert to fraction form
    8,310.40/12,456.96 = 3,688/x
  3. Step 3: Cross multiply
    8,310.40x = 12,456.96 × 3,688
  4. Step 4: Simplify right side
    8,310.40x = 45,941,268.48
  5. Step 5: Solve for x
    x = 45,941,268.48/8,310.40
  6. Step 6: Final answer
    x = 5,528.17

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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.