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Finding the Fourth Proportional to 11,146.80, 16,758.54 and 8,970.78

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Solution

The fourth proportional to 11,146.80, 16,758.54 and 8,970.78 is: 13,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.80 : 16,758.54 = 8,970.78 : x
  2. Step 2: Convert to fraction form
    11,146.80/16,758.54 = 8,970.78/x
  3. Step 3: Cross multiply
    11,146.80x = 16,758.54 × 8,970.78
  4. Step 4: Simplify right side
    11,146.80x = 150,337,175.46
  5. Step 5: Solve for x
    x = 150,337,175.46/11,146.80
  6. Step 6: Final answer
    x = 13,487.03

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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.