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Finding the Fourth Proportional to 6,197.58, 8,555.99 and 4,778.16

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Solution

The fourth proportional to 6,197.58, 8,555.99 and 4,778.16 is: 6,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.58 : 8,555.99 = 4,778.16 : x
  2. Step 2: Convert to fraction form
    6,197.58/8,555.99 = 4,778.16/x
  3. Step 3: Cross multiply
    6,197.58x = 8,555.99 × 4,778.16
  4. Step 4: Simplify right side
    6,197.58x = 40,881,846.40
  5. Step 5: Solve for x
    x = 40,881,846.40/6,197.58
  6. Step 6: Final answer
    x = 6,596.42

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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.