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Finding the Fourth Proportional to 11,197.49, 15,449.54 and 7,215.39

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Solution

The fourth proportional to 11,197.49, 15,449.54 and 7,215.39 is: 9,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.49 : 15,449.54 = 7,215.39 : x
  2. Step 2: Convert to fraction form
    11,197.49/15,449.54 = 7,215.39/x
  3. Step 3: Cross multiply
    11,197.49x = 15,449.54 × 7,215.39
  4. Step 4: Simplify right side
    11,197.49x = 111,474,420.34
  5. Step 5: Solve for x
    x = 111,474,420.34/11,197.49
  6. Step 6: Final answer
    x = 9,955.31

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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.