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Finding the Fourth Proportional to 7,238.86, 10,856.31 and 2,856.22

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Solution

The fourth proportional to 7,238.86, 10,856.31 and 2,856.22 is: 4,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.86 : 10,856.31 = 2,856.22 : x
  2. Step 2: Convert to fraction form
    7,238.86/10,856.31 = 2,856.22/x
  3. Step 3: Cross multiply
    7,238.86x = 10,856.31 × 2,856.22
  4. Step 4: Simplify right side
    7,238.86x = 31,008,009.75
  5. Step 5: Solve for x
    x = 31,008,009.75/7,238.86
  6. Step 6: Final answer
    x = 4,283.55

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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.