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Finding the Fourth Proportional to 10,471.25, 15,707.64 and 3,897.44

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Solution

The fourth proportional to 10,471.25, 15,707.64 and 3,897.44 is: 5,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.25 : 15,707.64 = 3,897.44 : x
  2. Step 2: Convert to fraction form
    10,471.25/15,707.64 = 3,897.44/x
  3. Step 3: Cross multiply
    10,471.25x = 15,707.64 × 3,897.44
  4. Step 4: Simplify right side
    10,471.25x = 61,219,584.44
  5. Step 5: Solve for x
    x = 61,219,584.44/10,471.25
  6. Step 6: Final answer
    x = 5,846.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.