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Finding the Fourth Proportional to 8,833.81, 13,188.62 and 6,742.81

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Solution

The fourth proportional to 8,833.81, 13,188.62 and 6,742.81 is: 10,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.81 : 13,188.62 = 6,742.81 : x
  2. Step 2: Convert to fraction form
    8,833.81/13,188.62 = 6,742.81/x
  3. Step 3: Cross multiply
    8,833.81x = 13,188.62 × 6,742.81
  4. Step 4: Simplify right side
    8,833.81x = 88,928,358.82
  5. Step 5: Solve for x
    x = 88,928,358.82/8,833.81
  6. Step 6: Final answer
    x = 10,066.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.