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Finding the Fourth Proportional to 8,722.76, 13,084.14 and 5,806.76

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Solution

The fourth proportional to 8,722.76, 13,084.14 and 5,806.76 is: 8,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.76 : 13,084.14 = 5,806.76 : x
  2. Step 2: Convert to fraction form
    8,722.76/13,084.14 = 5,806.76/x
  3. Step 3: Cross multiply
    8,722.76x = 13,084.14 × 5,806.76
  4. Step 4: Simplify right side
    8,722.76x = 75,976,460.79
  5. Step 5: Solve for x
    x = 75,976,460.79/8,722.76
  6. Step 6: Final answer
    x = 8,710.14

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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.