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Finding the Fourth Proportional to 10,471.47, 15,708.06 and 3,896.07

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Solution

The fourth proportional to 10,471.47, 15,708.06 and 3,896.07 is: 5,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.47 : 15,708.06 = 3,896.07 : x
  2. Step 2: Convert to fraction form
    10,471.47/15,708.06 = 3,896.07/x
  3. Step 3: Cross multiply
    10,471.47x = 15,708.06 × 3,896.07
  4. Step 4: Simplify right side
    10,471.47x = 61,199,701.32
  5. Step 5: Solve for x
    x = 61,199,701.32/10,471.47
  6. Step 6: Final answer
    x = 5,844.42

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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.