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Finding the Fourth Proportional to 7,767.65, 10,719.40 and 4,230.96

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Solution

The fourth proportional to 7,767.65, 10,719.40 and 4,230.96 is: 5,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.65 : 10,719.40 = 4,230.96 : x
  2. Step 2: Convert to fraction form
    7,767.65/10,719.40 = 4,230.96/x
  3. Step 3: Cross multiply
    7,767.65x = 10,719.40 × 4,230.96
  4. Step 4: Simplify right side
    7,767.65x = 45,353,352.62
  5. Step 5: Solve for x
    x = 45,353,352.62/7,767.65
  6. Step 6: Final answer
    x = 5,838.75

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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.