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Finding the Fourth Proportional to 8,595.60, 12,891.60 and 4,216.20

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Solution

The fourth proportional to 8,595.60, 12,891.60 and 4,216.20 is: 6,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.60 : 12,891.60 = 4,216.20 : x
  2. Step 2: Convert to fraction form
    8,595.60/12,891.60 = 4,216.20/x
  3. Step 3: Cross multiply
    8,595.60x = 12,891.60 × 4,216.20
  4. Step 4: Simplify right side
    8,595.60x = 54,353,563.92
  5. Step 5: Solve for x
    x = 54,353,563.92/8,595.60
  6. Step 6: Final answer
    x = 6,323.42

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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.