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Finding the Fourth Proportional to 10,472, 15,705.12 and 3,900.80

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Solution

The fourth proportional to 10,472, 15,705.12 and 3,900.80 is: 5,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472 : 15,705.12 = 3,900.80 : x
  2. Step 2: Convert to fraction form
    10,472/15,705.12 = 3,900.80/x
  3. Step 3: Cross multiply
    10,472x = 15,705.12 × 3,900.80
  4. Step 4: Simplify right side
    10,472x = 61,262,532.10
  5. Step 5: Solve for x
    x = 61,262,532.10/10,472
  6. Step 6: Final answer
    x = 5,850.13

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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.