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Finding the Fourth Proportional to 11,079, 15,289.06 and 6,887.24

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Solution

The fourth proportional to 11,079, 15,289.06 and 6,887.24 is: 9,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,079 : 15,289.06 = 6,887.24 : x
  2. Step 2: Convert to fraction form
    11,079/15,289.06 = 6,887.24/x
  3. Step 3: Cross multiply
    11,079x = 15,289.06 × 6,887.24
  4. Step 4: Simplify right side
    11,079x = 105,299,425.59
  5. Step 5: Solve for x
    x = 105,299,425.59/11,079
  6. Step 6: Final answer
    x = 9,504.42

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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.