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Finding the Fourth Proportional to 10,208.57, 15,300.93 and 4,936.14

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Solution

The fourth proportional to 10,208.57, 15,300.93 and 4,936.14 is: 7,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.57 : 15,300.93 = 4,936.14 : x
  2. Step 2: Convert to fraction form
    10,208.57/15,300.93 = 4,936.14/x
  3. Step 3: Cross multiply
    10,208.57x = 15,300.93 × 4,936.14
  4. Step 4: Simplify right side
    10,208.57x = 75,527,551.12
  5. Step 5: Solve for x
    x = 75,527,551.12/10,208.57
  6. Step 6: Final answer
    x = 7,398.45

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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.