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Finding the Fourth Proportional to 8,228.84, 12,340.19 and 2,962.42

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Solution

The fourth proportional to 8,228.84, 12,340.19 and 2,962.42 is: 4,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.84 : 12,340.19 = 2,962.42 : x
  2. Step 2: Convert to fraction form
    8,228.84/12,340.19 = 2,962.42/x
  3. Step 3: Cross multiply
    8,228.84x = 12,340.19 × 2,962.42
  4. Step 4: Simplify right side
    8,228.84x = 36,556,802.22
  5. Step 5: Solve for x
    x = 36,556,802.22/8,228.84
  6. Step 6: Final answer
    x = 4,442.52

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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.