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Finding the Fourth Proportional to 10,574, 15,863.73 and 5,027.25

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Solution

The fourth proportional to 10,574, 15,863.73 and 5,027.25 is: 7,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574 : 15,863.73 = 5,027.25 : x
  2. Step 2: Convert to fraction form
    10,574/15,863.73 = 5,027.25/x
  3. Step 3: Cross multiply
    10,574x = 15,863.73 × 5,027.25
  4. Step 4: Simplify right side
    10,574x = 79,750,936.64
  5. Step 5: Solve for x
    x = 79,750,936.64/10,574
  6. Step 6: Final answer
    x = 7,542.17

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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.