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Finding the Fourth Proportional to 7,767.17, 10,718.79 and 4,230.41

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Solution

The fourth proportional to 7,767.17, 10,718.79 and 4,230.41 is: 5,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.17 : 10,718.79 = 4,230.41 : x
  2. Step 2: Convert to fraction form
    7,767.17/10,718.79 = 4,230.41/x
  3. Step 3: Cross multiply
    7,767.17x = 10,718.79 × 4,230.41
  4. Step 4: Simplify right side
    7,767.17x = 45,344,855.25
  5. Step 5: Solve for x
    x = 45,344,855.25/7,767.17
  6. Step 6: Final answer
    x = 5,838.02

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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.