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Finding the Fourth Proportional to 8,227.52, 11,354.16 and 4,690.40

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Solution

The fourth proportional to 8,227.52, 11,354.16 and 4,690.40 is: 6,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.52 : 11,354.16 = 4,690.40 : x
  2. Step 2: Convert to fraction form
    8,227.52/11,354.16 = 4,690.40/x
  3. Step 3: Cross multiply
    8,227.52x = 11,354.16 × 4,690.40
  4. Step 4: Simplify right side
    8,227.52x = 53,255,552.06
  5. Step 5: Solve for x
    x = 53,255,552.06/8,227.52
  6. Step 6: Final answer
    x = 6,472.86

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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.