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Finding the Fourth Proportional to 8,345.34, 12,515.88 and 3,414.06

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Solution

The fourth proportional to 8,345.34, 12,515.88 and 3,414.06 is: 5,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.34 : 12,515.88 = 3,414.06 : x
  2. Step 2: Convert to fraction form
    8,345.34/12,515.88 = 3,414.06/x
  3. Step 3: Cross multiply
    8,345.34x = 12,515.88 × 3,414.06
  4. Step 4: Simplify right side
    8,345.34x = 42,729,965.27
  5. Step 5: Solve for x
    x = 42,729,965.27/8,345.34
  6. Step 6: Final answer
    x = 5,120.22

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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.