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Finding the Fourth Proportional to 11,152.80, 16,748.40 and 7,888.80

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Solution

The fourth proportional to 11,152.80, 16,748.40 and 7,888.80 is: 11,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.80 : 16,748.40 = 7,888.80 : x
  2. Step 2: Convert to fraction form
    11,152.80/16,748.40 = 7,888.80/x
  3. Step 3: Cross multiply
    11,152.80x = 16,748.40 × 7,888.80
  4. Step 4: Simplify right side
    11,152.80x = 132,124,777.92
  5. Step 5: Solve for x
    x = 132,124,777.92/11,152.80
  6. Step 6: Final answer
    x = 11,846.78

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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.