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Finding the Fourth Proportional to 10,447.87, 15,670.37 and 3,428.21

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Solution

The fourth proportional to 10,447.87, 15,670.37 and 3,428.21 is: 5,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.87 : 15,670.37 = 3,428.21 : x
  2. Step 2: Convert to fraction form
    10,447.87/15,670.37 = 3,428.21/x
  3. Step 3: Cross multiply
    10,447.87x = 15,670.37 × 3,428.21
  4. Step 4: Simplify right side
    10,447.87x = 53,721,319.14
  5. Step 5: Solve for x
    x = 53,721,319.14/10,447.87
  6. Step 6: Final answer
    x = 5,141.84

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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.