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Finding the Fourth Proportional to 8,305.54, 12,458.29 and 3,374.02

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Solution

The fourth proportional to 8,305.54, 12,458.29 and 3,374.02 is: 5,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.54 : 12,458.29 = 3,374.02 : x
  2. Step 2: Convert to fraction form
    8,305.54/12,458.29 = 3,374.02/x
  3. Step 3: Cross multiply
    8,305.54x = 12,458.29 × 3,374.02
  4. Step 4: Simplify right side
    8,305.54x = 42,034,519.63
  5. Step 5: Solve for x
    x = 42,034,519.63/8,305.54
  6. Step 6: Final answer
    x = 5,061.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.