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Finding the Fourth Proportional to 11,304.72, 15,611.40 and 7,776.36

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Solution

The fourth proportional to 11,304.72, 15,611.40 and 7,776.36 is: 10,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.72 : 15,611.40 = 7,776.36 : x
  2. Step 2: Convert to fraction form
    11,304.72/15,611.40 = 7,776.36/x
  3. Step 3: Cross multiply
    11,304.72x = 15,611.40 × 7,776.36
  4. Step 4: Simplify right side
    11,304.72x = 121,399,866.50
  5. Step 5: Solve for x
    x = 121,399,866.50/11,304.72
  6. Step 6: Final answer
    x = 10,738.87

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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.