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Finding the Fourth Proportional to 8,971.74, 12,375.24 and 5,789.10

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Solution

The fourth proportional to 8,971.74, 12,375.24 and 5,789.10 is: 7,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.74 : 12,375.24 = 5,789.10 : x
  2. Step 2: Convert to fraction form
    8,971.74/12,375.24 = 5,789.10/x
  3. Step 3: Cross multiply
    8,971.74x = 12,375.24 × 5,789.10
  4. Step 4: Simplify right side
    8,971.74x = 71,641,501.88
  5. Step 5: Solve for x
    x = 71,641,501.88/8,971.74
  6. Step 6: Final answer
    x = 7,985.24

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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.