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Finding the Fourth Proportional to 10,504, 15,754.38 and 3,487.06

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Solution

The fourth proportional to 10,504, 15,754.38 and 3,487.06 is: 5,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504 : 15,754.38 = 3,487.06 : x
  2. Step 2: Convert to fraction form
    10,504/15,754.38 = 3,487.06/x
  3. Step 3: Cross multiply
    10,504x = 15,754.38 × 3,487.06
  4. Step 4: Simplify right side
    10,504x = 54,936,468.32
  5. Step 5: Solve for x
    x = 54,936,468.32/10,504
  6. Step 6: Final answer
    x = 5,230.05

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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.