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Finding the Fourth Proportional to 28,243.62, 42,362.19 and 7,468.74

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Solution

The fourth proportional to 28,243.62, 42,362.19 and 7,468.74 is: 11,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,243.62 : 42,362.19 = 7,468.74 : x
  2. Step 2: Convert to fraction form
    28,243.62/42,362.19 = 7,468.74/x
  3. Step 3: Cross multiply
    28,243.62x = 42,362.19 × 7,468.74
  4. Step 4: Simplify right side
    28,243.62x = 316,392,182.94
  5. Step 5: Solve for x
    x = 316,392,182.94/28,243.62
  6. Step 6: Final answer
    x = 11,202.25

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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.