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Finding the Fourth Proportional to 8,822.95, 12,176.31 and 5,833.60

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Solution

The fourth proportional to 8,822.95, 12,176.31 and 5,833.60 is: 8,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.95 : 12,176.31 = 5,833.60 : x
  2. Step 2: Convert to fraction form
    8,822.95/12,176.31 = 5,833.60/x
  3. Step 3: Cross multiply
    8,822.95x = 12,176.31 × 5,833.60
  4. Step 4: Simplify right side
    8,822.95x = 71,031,722.02
  5. Step 5: Solve for x
    x = 71,031,722.02/8,822.95
  6. Step 6: Final answer
    x = 8,050.79

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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.