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Finding the Fourth Proportional to 6,881.13, 10,323.44 and 3,186.02

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Solution

The fourth proportional to 6,881.13, 10,323.44 and 3,186.02 is: 4,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.13 : 10,323.44 = 3,186.02 : x
  2. Step 2: Convert to fraction form
    6,881.13/10,323.44 = 3,186.02/x
  3. Step 3: Cross multiply
    6,881.13x = 10,323.44 × 3,186.02
  4. Step 4: Simplify right side
    6,881.13x = 32,890,686.31
  5. Step 5: Solve for x
    x = 32,890,686.31/6,881.13
  6. Step 6: Final answer
    x = 4,779.84

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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.