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Finding the Fourth Proportional to 8,219.34, 12,320.91 and 3,540.42

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Solution

The fourth proportional to 8,219.34, 12,320.91 and 3,540.42 is: 5,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.34 : 12,320.91 = 3,540.42 : x
  2. Step 2: Convert to fraction form
    8,219.34/12,320.91 = 3,540.42/x
  3. Step 3: Cross multiply
    8,219.34x = 12,320.91 × 3,540.42
  4. Step 4: Simplify right side
    8,219.34x = 43,621,196.18
  5. Step 5: Solve for x
    x = 43,621,196.18/8,219.34
  6. Step 6: Final answer
    x = 5,307.14

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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.