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Finding the Fourth Proportional to 7,767.22, 10,718.78 and 4,230.42

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Solution

The fourth proportional to 7,767.22, 10,718.78 and 4,230.42 is: 5,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.22 : 10,718.78 = 4,230.42 : x
  2. Step 2: Convert to fraction form
    7,767.22/10,718.78 = 4,230.42/x
  3. Step 3: Cross multiply
    7,767.22x = 10,718.78 × 4,230.42
  4. Step 4: Simplify right side
    7,767.22x = 45,344,941.29
  5. Step 5: Solve for x
    x = 45,344,941.29/7,767.22
  6. Step 6: Final answer
    x = 5,837.99

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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.