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Finding the Fourth Proportional to 7,767.76, 10,719.50 and 4,231

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Solution

The fourth proportional to 7,767.76, 10,719.50 and 4,231 is: 5,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.76 : 10,719.50 = 4,231 : x
  2. Step 2: Convert to fraction form
    7,767.76/10,719.50 = 4,231/x
  3. Step 3: Cross multiply
    7,767.76x = 10,719.50 × 4,231
  4. Step 4: Simplify right side
    7,767.76x = 45,354,204.50
  5. Step 5: Solve for x
    x = 45,354,204.50/7,767.76
  6. Step 6: Final answer
    x = 5,838.78

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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.