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Finding the Fourth Proportional to 7,903.86, 11,856.87 and 2,709.06

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Solution

The fourth proportional to 7,903.86, 11,856.87 and 2,709.06 is: 4,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.86 : 11,856.87 = 2,709.06 : x
  2. Step 2: Convert to fraction form
    7,903.86/11,856.87 = 2,709.06/x
  3. Step 3: Cross multiply
    7,903.86x = 11,856.87 × 2,709.06
  4. Step 4: Simplify right side
    7,903.86x = 32,120,972.24
  5. Step 5: Solve for x
    x = 32,120,972.24/7,903.86
  6. Step 6: Final answer
    x = 4,063.96

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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.