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Finding the Fourth Proportional to 8,409.71, 11,541.42 and 7,739.03

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Solution

The fourth proportional to 8,409.71, 11,541.42 and 7,739.03 is: 10,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.71 : 11,541.42 = 7,739.03 : x
  2. Step 2: Convert to fraction form
    8,409.71/11,541.42 = 7,739.03/x
  3. Step 3: Cross multiply
    8,409.71x = 11,541.42 × 7,739.03
  4. Step 4: Simplify right side
    8,409.71x = 89,319,337.92
  5. Step 5: Solve for x
    x = 89,319,337.92/8,409.71
  6. Step 6: Final answer
    x = 10,620.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.