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Finding the Fourth Proportional to 8,582.80, 11,844.06 and 4,856.80

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Solution

The fourth proportional to 8,582.80, 11,844.06 and 4,856.80 is: 6,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.80 : 11,844.06 = 4,856.80 : x
  2. Step 2: Convert to fraction form
    8,582.80/11,844.06 = 4,856.80/x
  3. Step 3: Cross multiply
    8,582.80x = 11,844.06 × 4,856.80
  4. Step 4: Simplify right side
    8,582.80x = 57,524,230.61
  5. Step 5: Solve for x
    x = 57,524,230.61/8,582.80
  6. Step 6: Final answer
    x = 6,702.27

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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.