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Finding the Fourth Proportional to 11,154.33, 15,393.11 and 6,965.01

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Solution

The fourth proportional to 11,154.33, 15,393.11 and 6,965.01 is: 9,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.33 : 15,393.11 = 6,965.01 : x
  2. Step 2: Convert to fraction form
    11,154.33/15,393.11 = 6,965.01/x
  3. Step 3: Cross multiply
    11,154.33x = 15,393.11 × 6,965.01
  4. Step 4: Simplify right side
    11,154.33x = 107,213,130.26
  5. Step 5: Solve for x
    x = 107,213,130.26/11,154.33
  6. Step 6: Final answer
    x = 9,611.79

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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.