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Finding the Fourth Proportional to 7,767.14, 10,718.48 and 4,230.28

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Solution

The fourth proportional to 7,767.14, 10,718.48 and 4,230.28 is: 5,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.14 : 10,718.48 = 4,230.28 : x
  2. Step 2: Convert to fraction form
    7,767.14/10,718.48 = 4,230.28/x
  3. Step 3: Cross multiply
    7,767.14x = 10,718.48 × 4,230.28
  4. Step 4: Simplify right side
    7,767.14x = 45,342,096.83
  5. Step 5: Solve for x
    x = 45,342,096.83/7,767.14
  6. Step 6: Final answer
    x = 5,837.68

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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.