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Finding the Fourth Proportional to 8,223.52, 12,326.64 and 5,625.76

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Solution

The fourth proportional to 8,223.52, 12,326.64 and 5,625.76 is: 8,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.52 : 12,326.64 = 5,625.76 : x
  2. Step 2: Convert to fraction form
    8,223.52/12,326.64 = 5,625.76/x
  3. Step 3: Cross multiply
    8,223.52x = 12,326.64 × 5,625.76
  4. Step 4: Simplify right side
    8,223.52x = 69,346,718.25
  5. Step 5: Solve for x
    x = 69,346,718.25/8,223.52
  6. Step 6: Final answer
    x = 8,432.73

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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.