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Finding the Fourth Proportional to 7,011.05, 9,675.56 and 4,027.82

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Solution

The fourth proportional to 7,011.05, 9,675.56 and 4,027.82 is: 5,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.05 : 9,675.56 = 4,027.82 : x
  2. Step 2: Convert to fraction form
    7,011.05/9,675.56 = 4,027.82/x
  3. Step 3: Cross multiply
    7,011.05x = 9,675.56 × 4,027.82
  4. Step 4: Simplify right side
    7,011.05x = 38,971,414.08
  5. Step 5: Solve for x
    x = 38,971,414.08/7,011.05
  6. Step 6: Final answer
    x = 5,558.57

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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.