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Finding the Fourth Proportional to 10,473, 15,712.74 and 3,453.08

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Solution

The fourth proportional to 10,473, 15,712.74 and 3,453.08 is: 5,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473 : 15,712.74 = 3,453.08 : x
  2. Step 2: Convert to fraction form
    10,473/15,712.74 = 3,453.08/x
  3. Step 3: Cross multiply
    10,473x = 15,712.74 × 3,453.08
  4. Step 4: Simplify right side
    10,473x = 54,257,348.24
  5. Step 5: Solve for x
    x = 54,257,348.24/10,473
  6. Step 6: Final answer
    x = 5,180.69

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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.