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Finding the Fourth Proportional to 28,257.44, 42,386.78 and 7,197.39

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Solution

The fourth proportional to 28,257.44, 42,386.78 and 7,197.39 is: 10,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.44 : 42,386.78 = 7,197.39 : x
  2. Step 2: Convert to fraction form
    28,257.44/42,386.78 = 7,197.39/x
  3. Step 3: Cross multiply
    28,257.44x = 42,386.78 × 7,197.39
  4. Step 4: Simplify right side
    28,257.44x = 305,074,204.50
  5. Step 5: Solve for x
    x = 305,074,204.50/28,257.44
  6. Step 6: Final answer
    x = 10,796.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.