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Finding the Fourth Proportional to 10,438.56, 15,657.81 and 2,647.35

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Solution

The fourth proportional to 10,438.56, 15,657.81 and 2,647.35 is: 3,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.56 : 15,657.81 = 2,647.35 : x
  2. Step 2: Convert to fraction form
    10,438.56/15,657.81 = 2,647.35/x
  3. Step 3: Cross multiply
    10,438.56x = 15,657.81 × 2,647.35
  4. Step 4: Simplify right side
    10,438.56x = 41,451,703.30
  5. Step 5: Solve for x
    x = 41,451,703.30/10,438.56
  6. Step 6: Final answer
    x = 3,971.02

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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.