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Finding the Fourth Proportional to 8,066, 11,119.56 and 5,713.52

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Solution

The fourth proportional to 8,066, 11,119.56 and 5,713.52 is: 7,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066 : 11,119.56 = 5,713.52 : x
  2. Step 2: Convert to fraction form
    8,066/11,119.56 = 5,713.52/x
  3. Step 3: Cross multiply
    8,066x = 11,119.56 × 5,713.52
  4. Step 4: Simplify right side
    8,066x = 63,531,828.45
  5. Step 5: Solve for x
    x = 63,531,828.45/8,066
  6. Step 6: Final answer
    x = 7,876.50

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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.