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Finding the Fourth Proportional to 7,235.41, 10,856.49 and 2,558.96

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Solution

The fourth proportional to 7,235.41, 10,856.49 and 2,558.96 is: 3,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.41 : 10,856.49 = 2,558.96 : x
  2. Step 2: Convert to fraction form
    7,235.41/10,856.49 = 2,558.96/x
  3. Step 3: Cross multiply
    7,235.41x = 10,856.49 × 2,558.96
  4. Step 4: Simplify right side
    7,235.41x = 27,781,256.57
  5. Step 5: Solve for x
    x = 27,781,256.57/7,235.41
  6. Step 6: Final answer
    x = 3,839.63

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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.