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Finding the Fourth Proportional to 7,713.88, 11,559.66 and 4,200.92

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Solution

The fourth proportional to 7,713.88, 11,559.66 and 4,200.92 is: 6,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.88 : 11,559.66 = 4,200.92 : x
  2. Step 2: Convert to fraction form
    7,713.88/11,559.66 = 4,200.92/x
  3. Step 3: Cross multiply
    7,713.88x = 11,559.66 × 4,200.92
  4. Step 4: Simplify right side
    7,713.88x = 48,561,206.89
  5. Step 5: Solve for x
    x = 48,561,206.89/7,713.88
  6. Step 6: Final answer
    x = 6,295.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.