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Finding the Fourth Proportional to 11,811.60, 16,301.80 and 8,974.32

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Solution

The fourth proportional to 11,811.60, 16,301.80 and 8,974.32 is: 12,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.60 : 16,301.80 = 8,974.32 : x
  2. Step 2: Convert to fraction form
    11,811.60/16,301.80 = 8,974.32/x
  3. Step 3: Cross multiply
    11,811.60x = 16,301.80 × 8,974.32
  4. Step 4: Simplify right side
    11,811.60x = 146,297,569.78
  5. Step 5: Solve for x
    x = 146,297,569.78/11,811.60
  6. Step 6: Final answer
    x = 12,385.92

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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.