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Finding the Fourth Proportional to 6,186.54, 8,527.50 and 4,858.14

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Solution

The fourth proportional to 6,186.54, 8,527.50 and 4,858.14 is: 6,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.54 : 8,527.50 = 4,858.14 : x
  2. Step 2: Convert to fraction form
    6,186.54/8,527.50 = 4,858.14/x
  3. Step 3: Cross multiply
    6,186.54x = 8,527.50 × 4,858.14
  4. Step 4: Simplify right side
    6,186.54x = 41,427,788.85
  5. Step 5: Solve for x
    x = 41,427,788.85/6,186.54
  6. Step 6: Final answer
    x = 6,696.44

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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.