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Finding the Fourth Proportional to 10,486.82, 14,471.81 and 5,771.10

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Solution

The fourth proportional to 10,486.82, 14,471.81 and 5,771.10 is: 7,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.82 : 14,471.81 = 5,771.10 : x
  2. Step 2: Convert to fraction form
    10,486.82/14,471.81 = 5,771.10/x
  3. Step 3: Cross multiply
    10,486.82x = 14,471.81 × 5,771.10
  4. Step 4: Simplify right side
    10,486.82x = 83,518,262.69
  5. Step 5: Solve for x
    x = 83,518,262.69/10,486.82
  6. Step 6: Final answer
    x = 7,964.12

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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.