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Finding the Fourth Proportional to 11,055.38, 15,256.42 and 6,087.38

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Solution

The fourth proportional to 11,055.38, 15,256.42 and 6,087.38 is: 8,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.38 : 15,256.42 = 6,087.38 : x
  2. Step 2: Convert to fraction form
    11,055.38/15,256.42 = 6,087.38/x
  3. Step 3: Cross multiply
    11,055.38x = 15,256.42 × 6,087.38
  4. Step 4: Simplify right side
    11,055.38x = 92,871,534.48
  5. Step 5: Solve for x
    x = 92,871,534.48/11,055.38
  6. Step 6: Final answer
    x = 8,400.58

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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.