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Finding the Fourth Proportional to 6,185.87, 8,529.71 and 4,766.42

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Solution

The fourth proportional to 6,185.87, 8,529.71 and 4,766.42 is: 6,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.87 : 8,529.71 = 4,766.42 : x
  2. Step 2: Convert to fraction form
    6,185.87/8,529.71 = 4,766.42/x
  3. Step 3: Cross multiply
    6,185.87x = 8,529.71 × 4,766.42
  4. Step 4: Simplify right side
    6,185.87x = 40,656,156.51
  5. Step 5: Solve for x
    x = 40,656,156.51/6,185.87
  6. Step 6: Final answer
    x = 6,572.42

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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.