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Finding the Fourth Proportional to 8,971.66, 12,380.50 and 5,987.10

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Solution

The fourth proportional to 8,971.66, 12,380.50 and 5,987.10 is: 8,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.66 : 12,380.50 = 5,987.10 : x
  2. Step 2: Convert to fraction form
    8,971.66/12,380.50 = 5,987.10/x
  3. Step 3: Cross multiply
    8,971.66x = 12,380.50 × 5,987.10
  4. Step 4: Simplify right side
    8,971.66x = 74,123,291.55
  5. Step 5: Solve for x
    x = 74,123,291.55/8,971.66
  6. Step 6: Final answer
    x = 8,261.94

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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.