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Finding the Fourth Proportional to 7,888.16, 11,832.78 and 2,697.68

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Solution

The fourth proportional to 7,888.16, 11,832.78 and 2,697.68 is: 4,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.16 : 11,832.78 = 2,697.68 : x
  2. Step 2: Convert to fraction form
    7,888.16/11,832.78 = 2,697.68/x
  3. Step 3: Cross multiply
    7,888.16x = 11,832.78 × 2,697.68
  4. Step 4: Simplify right side
    7,888.16x = 31,921,053.95
  5. Step 5: Solve for x
    x = 31,921,053.95/7,888.16
  6. Step 6: Final answer
    x = 4,046.70

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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.