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Finding the Fourth Proportional to 7,884.80, 11,833.26 and 5,888.48

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Solution

The fourth proportional to 7,884.80, 11,833.26 and 5,888.48 is: 8,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.80 : 11,833.26 = 5,888.48 : x
  2. Step 2: Convert to fraction form
    7,884.80/11,833.26 = 5,888.48/x
  3. Step 3: Cross multiply
    7,884.80x = 11,833.26 × 5,888.48
  4. Step 4: Simplify right side
    7,884.80x = 69,679,855.68
  5. Step 5: Solve for x
    x = 69,679,855.68/7,884.80
  6. Step 6: Final answer
    x = 8,837.24

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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.