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Finding the Fourth Proportional to 11,338.24, 17,012.94 and 5,102.66

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Solution

The fourth proportional to 11,338.24, 17,012.94 and 5,102.66 is: 7,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.24 : 17,012.94 = 5,102.66 : x
  2. Step 2: Convert to fraction form
    11,338.24/17,012.94 = 5,102.66/x
  3. Step 3: Cross multiply
    11,338.24x = 17,012.94 × 5,102.66
  4. Step 4: Simplify right side
    11,338.24x = 86,811,248.42
  5. Step 5: Solve for x
    x = 86,811,248.42/11,338.24
  6. Step 6: Final answer
    x = 7,656.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.