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Finding the Fourth Proportional to 23,528, 35,292 and 7,112

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Solution

The fourth proportional to 23,528, 35,292 and 7,112 is: 10,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528 : 35,292 = 7,112 : x
  2. Step 2: Convert to fraction form
    23,528/35,292 = 7,112/x
  3. Step 3: Cross multiply
    23,528x = 35,292 × 7,112
  4. Step 4: Simplify right side
    23,528x = 250,996,704
  5. Step 5: Solve for x
    x = 250,996,704/23,528
  6. Step 6: Final answer
    x = 10,668

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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.