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Finding the Fourth Proportional to 11,206.41, 15,459.65 and 7,228.80

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Solution

The fourth proportional to 11,206.41, 15,459.65 and 7,228.80 is: 9,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.41 : 15,459.65 = 7,228.80 : x
  2. Step 2: Convert to fraction form
    11,206.41/15,459.65 = 7,228.80/x
  3. Step 3: Cross multiply
    11,206.41x = 15,459.65 × 7,228.80
  4. Step 4: Simplify right side
    11,206.41x = 111,754,695.33
  5. Step 5: Solve for x
    x = 111,754,695.33/11,206.41
  6. Step 6: Final answer
    x = 9,972.39

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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.