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Finding the Fourth Proportional to 8,971.60, 13,441.20 and 7,934.80

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Solution

The fourth proportional to 8,971.60, 13,441.20 and 7,934.80 is: 11,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.60 : 13,441.20 = 7,934.80 : x
  2. Step 2: Convert to fraction form
    8,971.60/13,441.20 = 7,934.80/x
  3. Step 3: Cross multiply
    8,971.60x = 13,441.20 × 7,934.80
  4. Step 4: Simplify right side
    8,971.60x = 106,653,233.76
  5. Step 5: Solve for x
    x = 106,653,233.76/8,971.60
  6. Step 6: Final answer
    x = 11,887.87

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