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Finding the Fourth Proportional to 7,884.64, 10,879.78 and 4,527.60

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Solution

The fourth proportional to 7,884.64, 10,879.78 and 4,527.60 is: 6,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.64 : 10,879.78 = 4,527.60 : x
  2. Step 2: Convert to fraction form
    7,884.64/10,879.78 = 4,527.60/x
  3. Step 3: Cross multiply
    7,884.64x = 10,879.78 × 4,527.60
  4. Step 4: Simplify right side
    7,884.64x = 49,259,291.93
  5. Step 5: Solve for x
    x = 49,259,291.93/7,884.64
  6. Step 6: Final answer
    x = 6,247.50

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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.