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Finding the Fourth Proportional to 6,186.24, 8,537.94 and 4,869.86

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Solution

The fourth proportional to 6,186.24, 8,537.94 and 4,869.86 is: 6,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.24 : 8,537.94 = 4,869.86 : x
  2. Step 2: Convert to fraction form
    6,186.24/8,537.94 = 4,869.86/x
  3. Step 3: Cross multiply
    6,186.24x = 8,537.94 × 4,869.86
  4. Step 4: Simplify right side
    6,186.24x = 41,578,529.80
  5. Step 5: Solve for x
    x = 41,578,529.80/6,186.24
  6. Step 6: Final answer
    x = 6,721.13

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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.