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Finding the Fourth Proportional to 10,771.38, 14,864.04 and 6,055.56

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Solution

The fourth proportional to 10,771.38, 14,864.04 and 6,055.56 is: 8,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.38 : 14,864.04 = 6,055.56 : x
  2. Step 2: Convert to fraction form
    10,771.38/14,864.04 = 6,055.56/x
  3. Step 3: Cross multiply
    10,771.38x = 14,864.04 × 6,055.56
  4. Step 4: Simplify right side
    10,771.38x = 90,010,086.06
  5. Step 5: Solve for x
    x = 90,010,086.06/10,771.38
  6. Step 6: Final answer
    x = 8,356.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.