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Finding the Fourth Proportional to 7,011.92, 9,676.86 and 4,027.76

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Solution

The fourth proportional to 7,011.92, 9,676.86 and 4,027.76 is: 5,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.92 : 9,676.86 = 4,027.76 : x
  2. Step 2: Convert to fraction form
    7,011.92/9,676.86 = 4,027.76/x
  3. Step 3: Cross multiply
    7,011.92x = 9,676.86 × 4,027.76
  4. Step 4: Simplify right side
    7,011.92x = 38,976,069.63
  5. Step 5: Solve for x
    x = 38,976,069.63/7,011.92
  6. Step 6: Final answer
    x = 5,558.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.