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Finding the Fourth Proportional to 11,065.40, 15,267.78 and 6,760.76

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Solution

The fourth proportional to 11,065.40, 15,267.78 and 6,760.76 is: 9,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.40 : 15,267.78 = 6,760.76 : x
  2. Step 2: Convert to fraction form
    11,065.40/15,267.78 = 6,760.76/x
  3. Step 3: Cross multiply
    11,065.40x = 15,267.78 × 6,760.76
  4. Step 4: Simplify right side
    11,065.40x = 103,221,796.31
  5. Step 5: Solve for x
    x = 103,221,796.31/11,065.40
  6. Step 6: Final answer
    x = 9,328.34

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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.