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Finding the Fourth Proportional to 28,004.50, 42,007.56 and 7,228

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Solution

The fourth proportional to 28,004.50, 42,007.56 and 7,228 is: 10,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.50 : 42,007.56 = 7,228 : x
  2. Step 2: Convert to fraction form
    28,004.50/42,007.56 = 7,228/x
  3. Step 3: Cross multiply
    28,004.50x = 42,007.56 × 7,228
  4. Step 4: Simplify right side
    28,004.50x = 303,630,643.68
  5. Step 5: Solve for x
    x = 303,630,643.68/28,004.50
  6. Step 6: Final answer
    x = 10,842.21

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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.