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Finding the Fourth Proportional to 11,006, 15,188.28 and 6,038

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Solution

The fourth proportional to 11,006, 15,188.28 and 6,038 is: 8,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006 : 15,188.28 = 6,038 : x
  2. Step 2: Convert to fraction form
    11,006/15,188.28 = 6,038/x
  3. Step 3: Cross multiply
    11,006x = 15,188.28 × 6,038
  4. Step 4: Simplify right side
    11,006x = 91,706,834.64
  5. Step 5: Solve for x
    x = 91,706,834.64/11,006
  6. Step 6: Final answer
    x = 8,332.44

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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.