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Finding the Fourth Proportional to 7,708.86, 10,638.81 and 6,148.80

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Solution

The fourth proportional to 7,708.86, 10,638.81 and 6,148.80 is: 8,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.86 : 10,638.81 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    7,708.86/10,638.81 = 6,148.80/x
  3. Step 3: Cross multiply
    7,708.86x = 10,638.81 × 6,148.80
  4. Step 4: Simplify right side
    7,708.86x = 65,415,914.93
  5. Step 5: Solve for x
    x = 65,415,914.93/7,708.86
  6. Step 6: Final answer
    x = 8,485.81

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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.