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Finding the Fourth Proportional to 8,971.74, 12,402.65 and 8,224.52

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Solution

The fourth proportional to 8,971.74, 12,402.65 and 8,224.52 is: 11,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.74 : 12,402.65 = 8,224.52 : x
  2. Step 2: Convert to fraction form
    8,971.74/12,402.65 = 8,224.52/x
  3. Step 3: Cross multiply
    8,971.74x = 12,402.65 × 8,224.52
  4. Step 4: Simplify right side
    8,971.74x = 102,005,801.53
  5. Step 5: Solve for x
    x = 102,005,801.53/8,971.74
  6. Step 6: Final answer
    x = 11,369.68

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