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Finding the Fourth Proportional to 7,707.20, 11,573.76 and 4,195.20

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Solution

The fourth proportional to 7,707.20, 11,573.76 and 4,195.20 is: 6,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.20 : 11,573.76 = 4,195.20 : x
  2. Step 2: Convert to fraction form
    7,707.20/11,573.76 = 4,195.20/x
  3. Step 3: Cross multiply
    7,707.20x = 11,573.76 × 4,195.20
  4. Step 4: Simplify right side
    7,707.20x = 48,554,237.95
  5. Step 5: Solve for x
    x = 48,554,237.95/7,707.20
  6. Step 6: Final answer
    x = 6,299.85

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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.