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Finding the Fourth Proportional to 11,266.16, 15,551.88 and 7,287.44

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Solution

The fourth proportional to 11,266.16, 15,551.88 and 7,287.44 is: 10,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.16 : 15,551.88 = 7,287.44 : x
  2. Step 2: Convert to fraction form
    11,266.16/15,551.88 = 7,287.44/x
  3. Step 3: Cross multiply
    11,266.16x = 15,551.88 × 7,287.44
  4. Step 4: Simplify right side
    11,266.16x = 113,333,392.39
  5. Step 5: Solve for x
    x = 113,333,392.39/11,266.16
  6. Step 6: Final answer
    x = 10,059.63

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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.