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Finding the Fourth Proportional to 6,518.88, 9,778.05 and 4,685.31

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Solution

The fourth proportional to 6,518.88, 9,778.05 and 4,685.31 is: 7,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.88 : 9,778.05 = 4,685.31 : x
  2. Step 2: Convert to fraction form
    6,518.88/9,778.05 = 4,685.31/x
  3. Step 3: Cross multiply
    6,518.88x = 9,778.05 × 4,685.31
  4. Step 4: Simplify right side
    6,518.88x = 45,813,195.45
  5. Step 5: Solve for x
    x = 45,813,195.45/6,518.88
  6. Step 6: Final answer
    x = 7,027.77

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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.