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Finding the Fourth Proportional to 7,832.80, 10,799.76 and 5,733.28

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Solution

The fourth proportional to 7,832.80, 10,799.76 and 5,733.28 is: 7,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.80 : 10,799.76 = 5,733.28 : x
  2. Step 2: Convert to fraction form
    7,832.80/10,799.76 = 5,733.28/x
  3. Step 3: Cross multiply
    7,832.80x = 10,799.76 × 5,733.28
  4. Step 4: Simplify right side
    7,832.80x = 61,918,048.01
  5. Step 5: Solve for x
    x = 61,918,048.01/7,832.80
  6. Step 6: Final answer
    x = 7,904.97

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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.