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Finding the Fourth Proportional to 10,438.31, 15,657.87 and 2,647.32

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Solution

The fourth proportional to 10,438.31, 15,657.87 and 2,647.32 is: 3,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.31 : 15,657.87 = 2,647.32 : x
  2. Step 2: Convert to fraction form
    10,438.31/15,657.87 = 2,647.32/x
  3. Step 3: Cross multiply
    10,438.31x = 15,657.87 × 2,647.32
  4. Step 4: Simplify right side
    10,438.31x = 41,451,392.41
  5. Step 5: Solve for x
    x = 41,451,392.41/10,438.31
  6. Step 6: Final answer
    x = 3,971.08

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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.