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Finding the Fourth Proportional to 8,268.71, 11,411.82 and 4,731.84

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Solution

The fourth proportional to 8,268.71, 11,411.82 and 4,731.84 is: 6,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.71 : 11,411.82 = 4,731.84 : x
  2. Step 2: Convert to fraction form
    8,268.71/11,411.82 = 4,731.84/x
  3. Step 3: Cross multiply
    8,268.71x = 11,411.82 × 4,731.84
  4. Step 4: Simplify right side
    8,268.71x = 53,998,931.40
  5. Step 5: Solve for x
    x = 53,998,931.40/8,268.71
  6. Step 6: Final answer
    x = 6,530.52

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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.