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Finding the Fourth Proportional to 6,690.92, 10,027.03 and 5,698.57

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Solution

The fourth proportional to 6,690.92, 10,027.03 and 5,698.57 is: 8,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.92 : 10,027.03 = 5,698.57 : x
  2. Step 2: Convert to fraction form
    6,690.92/10,027.03 = 5,698.57/x
  3. Step 3: Cross multiply
    6,690.92x = 10,027.03 × 5,698.57
  4. Step 4: Simplify right side
    6,690.92x = 57,139,732.35
  5. Step 5: Solve for x
    x = 57,139,732.35/6,690.92
  6. Step 6: Final answer
    x = 8,539.89

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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.