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Finding the Fourth Proportional to 8,216.90, 12,340.20 and 7,196.30

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Solution

The fourth proportional to 8,216.90, 12,340.20 and 7,196.30 is: 10,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.90 : 12,340.20 = 7,196.30 : x
  2. Step 2: Convert to fraction form
    8,216.90/12,340.20 = 7,196.30/x
  3. Step 3: Cross multiply
    8,216.90x = 12,340.20 × 7,196.30
  4. Step 4: Simplify right side
    8,216.90x = 88,803,781.26
  5. Step 5: Solve for x
    x = 88,803,781.26/8,216.90
  6. Step 6: Final answer
    x = 10,807.46

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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.