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Finding the Fourth Proportional to 8,971.30, 12,374.22 and 5,383.81

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Solution

The fourth proportional to 8,971.30, 12,374.22 and 5,383.81 is: 7,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.30 : 12,374.22 = 5,383.81 : x
  2. Step 2: Convert to fraction form
    8,971.30/12,374.22 = 5,383.81/x
  3. Step 3: Cross multiply
    8,971.30x = 12,374.22 × 5,383.81
  4. Step 4: Simplify right side
    8,971.30x = 66,620,449.38
  5. Step 5: Solve for x
    x = 66,620,449.38/8,971.30
  6. Step 6: Final answer
    x = 7,425.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.