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Finding the Fourth Proportional to 28,228.50, 42,342.75 and 7,452

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Solution

The fourth proportional to 28,228.50, 42,342.75 and 7,452 is: 11,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,228.50 : 42,342.75 = 7,452 : x
  2. Step 2: Convert to fraction form
    28,228.50/42,342.75 = 7,452/x
  3. Step 3: Cross multiply
    28,228.50x = 42,342.75 × 7,452
  4. Step 4: Simplify right side
    28,228.50x = 315,538,173
  5. Step 5: Solve for x
    x = 315,538,173/28,228.50
  6. Step 6: Final answer
    x = 11,178

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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.