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Finding the Fourth Proportional to 8,417.88, 12,628.64 and 3,223.75

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Solution

The fourth proportional to 8,417.88, 12,628.64 and 3,223.75 is: 4,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.88 : 12,628.64 = 3,223.75 : x
  2. Step 2: Convert to fraction form
    8,417.88/12,628.64 = 3,223.75/x
  3. Step 3: Cross multiply
    8,417.88x = 12,628.64 × 3,223.75
  4. Step 4: Simplify right side
    8,417.88x = 40,711,562.08
  5. Step 5: Solve for x
    x = 40,711,562.08/8,417.88
  6. Step 6: Final answer
    x = 4,836.32

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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.