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Finding the Fourth Proportional to 10,471.07, 15,703.22 and 3,449.41

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Solution

The fourth proportional to 10,471.07, 15,703.22 and 3,449.41 is: 5,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.07 : 15,703.22 = 3,449.41 : x
  2. Step 2: Convert to fraction form
    10,471.07/15,703.22 = 3,449.41/x
  3. Step 3: Cross multiply
    10,471.07x = 15,703.22 × 3,449.41
  4. Step 4: Simplify right side
    10,471.07x = 54,166,844.10
  5. Step 5: Solve for x
    x = 54,166,844.10/10,471.07
  6. Step 6: Final answer
    x = 5,173.00

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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.