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Finding the Fourth Proportional to 7,806.80, 11,710.20 and 5,301.20

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Solution

The fourth proportional to 7,806.80, 11,710.20 and 5,301.20 is: 7,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.80 : 11,710.20 = 5,301.20 : x
  2. Step 2: Convert to fraction form
    7,806.80/11,710.20 = 5,301.20/x
  3. Step 3: Cross multiply
    7,806.80x = 11,710.20 × 5,301.20
  4. Step 4: Simplify right side
    7,806.80x = 62,078,112.24
  5. Step 5: Solve for x
    x = 62,078,112.24/7,806.80
  6. Step 6: Final answer
    x = 7,951.80

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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.