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Finding the Fourth Proportional to 7,952.10, 11,921.94 and 5,024.28

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Solution

The fourth proportional to 7,952.10, 11,921.94 and 5,024.28 is: 7,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.10 : 11,921.94 = 5,024.28 : x
  2. Step 2: Convert to fraction form
    7,952.10/11,921.94 = 5,024.28/x
  3. Step 3: Cross multiply
    7,952.10x = 11,921.94 × 5,024.28
  4. Step 4: Simplify right side
    7,952.10x = 59,899,164.70
  5. Step 5: Solve for x
    x = 59,899,164.70/7,952.10
  6. Step 6: Final answer
    x = 7,532.50

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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.