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Finding the Fourth Proportional to 10,142.97, 15,203.69 and 5,984.94

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Solution

The fourth proportional to 10,142.97, 15,203.69 and 5,984.94 is: 8,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.97 : 15,203.69 = 5,984.94 : x
  2. Step 2: Convert to fraction form
    10,142.97/15,203.69 = 5,984.94/x
  3. Step 3: Cross multiply
    10,142.97x = 15,203.69 × 5,984.94
  4. Step 4: Simplify right side
    10,142.97x = 90,993,142.50
  5. Step 5: Solve for x
    x = 90,993,142.50/10,142.97
  6. Step 6: Final answer
    x = 8,971.06

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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.