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Finding the Fourth Proportional to 8,454.17, 12,677.59 and 3,453.23

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Solution

The fourth proportional to 8,454.17, 12,677.59 and 3,453.23 is: 5,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.17 : 12,677.59 = 3,453.23 : x
  2. Step 2: Convert to fraction form
    8,454.17/12,677.59 = 3,453.23/x
  3. Step 3: Cross multiply
    8,454.17x = 12,677.59 × 3,453.23
  4. Step 4: Simplify right side
    8,454.17x = 43,778,634.12
  5. Step 5: Solve for x
    x = 43,778,634.12/8,454.17
  6. Step 6: Final answer
    x = 5,178.35

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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.