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Finding the Fourth Proportional to 7,239.50, 10,856.48 and 2,558.63

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Solution

The fourth proportional to 7,239.50, 10,856.48 and 2,558.63 is: 3,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.50 : 10,856.48 = 2,558.63 : x
  2. Step 2: Convert to fraction form
    7,239.50/10,856.48 = 2,558.63/x
  3. Step 3: Cross multiply
    7,239.50x = 10,856.48 × 2,558.63
  4. Step 4: Simplify right side
    7,239.50x = 27,777,648.35
  5. Step 5: Solve for x
    x = 27,777,648.35/7,239.50
  6. Step 6: Final answer
    x = 3,836.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.