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Finding the Fourth Proportional to 8,823.78, 13,235.31 and 3,557.25

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Solution

The fourth proportional to 8,823.78, 13,235.31 and 3,557.25 is: 5,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.78 : 13,235.31 = 3,557.25 : x
  2. Step 2: Convert to fraction form
    8,823.78/13,235.31 = 3,557.25/x
  3. Step 3: Cross multiply
    8,823.78x = 13,235.31 × 3,557.25
  4. Step 4: Simplify right side
    8,823.78x = 47,081,306.50
  5. Step 5: Solve for x
    x = 47,081,306.50/8,823.78
  6. Step 6: Final answer
    x = 5,335.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.