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Finding the Fourth Proportional to 7,884.16, 10,879.84 and 4,527.20

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Solution

The fourth proportional to 7,884.16, 10,879.84 and 4,527.20 is: 6,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.16 : 10,879.84 = 4,527.20 : x
  2. Step 2: Convert to fraction form
    7,884.16/10,879.84 = 4,527.20/x
  3. Step 3: Cross multiply
    7,884.16x = 10,879.84 × 4,527.20
  4. Step 4: Simplify right side
    7,884.16x = 49,255,211.65
  5. Step 5: Solve for x
    x = 49,255,211.65/7,884.16
  6. Step 6: Final answer
    x = 6,247.36

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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.