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Finding the Fourth Proportional to 8,011.74, 11,040.58 and 5,769.38

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Solution

The fourth proportional to 8,011.74, 11,040.58 and 5,769.38 is: 7,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.74 : 11,040.58 = 5,769.38 : x
  2. Step 2: Convert to fraction form
    8,011.74/11,040.58 = 5,769.38/x
  3. Step 3: Cross multiply
    8,011.74x = 11,040.58 × 5,769.38
  4. Step 4: Simplify right side
    8,011.74x = 63,697,301.44
  5. Step 5: Solve for x
    x = 63,697,301.44/8,011.74
  6. Step 6: Final answer
    x = 7,950.50

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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.