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Finding the Fourth Proportional to 11,247.47, 15,511.47 and 7,264.39

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Solution

The fourth proportional to 11,247.47, 15,511.47 and 7,264.39 is: 10,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247.47 : 15,511.47 = 7,264.39 : x
  2. Step 2: Convert to fraction form
    11,247.47/15,511.47 = 7,264.39/x
  3. Step 3: Cross multiply
    11,247.47x = 15,511.47 × 7,264.39
  4. Step 4: Simplify right side
    11,247.47x = 112,681,367.55
  5. Step 5: Solve for x
    x = 112,681,367.55/11,247.47
  6. Step 6: Final answer
    x = 10,018.37

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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.