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Finding the Fourth Proportional to 15,250.52, 22,875.78 and 4,862

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Solution

The fourth proportional to 15,250.52, 22,875.78 and 4,862 is: 7,293

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,250.52 : 22,875.78 = 4,862 : x
  2. Step 2: Convert to fraction form
    15,250.52/22,875.78 = 4,862/x
  3. Step 3: Cross multiply
    15,250.52x = 22,875.78 × 4,862
  4. Step 4: Simplify right side
    15,250.52x = 111,222,042.36
  5. Step 5: Solve for x
    x = 111,222,042.36/15,250.52
  6. Step 6: Final answer
    x = 7,293

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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.