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Finding the Fourth Proportional to 7,806.16, 10,772.72 and 4,269.52

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Solution

The fourth proportional to 7,806.16, 10,772.72 and 4,269.52 is: 5,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.16 : 10,772.72 = 4,269.52 : x
  2. Step 2: Convert to fraction form
    7,806.16/10,772.72 = 4,269.52/x
  3. Step 3: Cross multiply
    7,806.16x = 10,772.72 × 4,269.52
  4. Step 4: Simplify right side
    7,806.16x = 45,994,343.49
  5. Step 5: Solve for x
    x = 45,994,343.49/7,806.16
  6. Step 6: Final answer
    x = 5,892.06

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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.