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Finding the Fourth Proportional to 7,884.32, 10,884.96 and 5,235.36

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Solution

The fourth proportional to 7,884.32, 10,884.96 and 5,235.36 is: 7,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.32 : 10,884.96 = 5,235.36 : x
  2. Step 2: Convert to fraction form
    7,884.32/10,884.96 = 5,235.36/x
  3. Step 3: Cross multiply
    7,884.32x = 10,884.96 × 5,235.36
  4. Step 4: Simplify right side
    7,884.32x = 56,986,684.19
  5. Step 5: Solve for x
    x = 56,986,684.19/7,884.32
  6. Step 6: Final answer
    x = 7,227.85

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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.