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Finding the Fourth Proportional to 7,767.87, 10,719.64 and 4,231.07

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Solution

The fourth proportional to 7,767.87, 10,719.64 and 4,231.07 is: 5,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.87 : 10,719.64 = 4,231.07 : x
  2. Step 2: Convert to fraction form
    7,767.87/10,719.64 = 4,231.07/x
  3. Step 3: Cross multiply
    7,767.87x = 10,719.64 × 4,231.07
  4. Step 4: Simplify right side
    7,767.87x = 45,355,547.21
  5. Step 5: Solve for x
    x = 45,355,547.21/7,767.87
  6. Step 6: Final answer
    x = 5,838.87

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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.