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Finding the Fourth Proportional to 8,597.20, 12,898.20 and 4,214.80

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Solution

The fourth proportional to 8,597.20, 12,898.20 and 4,214.80 is: 6,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.20 : 12,898.20 = 4,214.80 : x
  2. Step 2: Convert to fraction form
    8,597.20/12,898.20 = 4,214.80/x
  3. Step 3: Cross multiply
    8,597.20x = 12,898.20 × 4,214.80
  4. Step 4: Simplify right side
    8,597.20x = 54,363,333.36
  5. Step 5: Solve for x
    x = 54,363,333.36/8,597.20
  6. Step 6: Final answer
    x = 6,323.38

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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.