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Finding the Fourth Proportional to 8,268.70, 11,410.86 and 4,732

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Solution

The fourth proportional to 8,268.70, 11,410.86 and 4,732 is: 6,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.70 : 11,410.86 = 4,732 : x
  2. Step 2: Convert to fraction form
    8,268.70/11,410.86 = 4,732/x
  3. Step 3: Cross multiply
    8,268.70x = 11,410.86 × 4,732
  4. Step 4: Simplify right side
    8,268.70x = 53,996,189.52
  5. Step 5: Solve for x
    x = 53,996,189.52/8,268.70
  6. Step 6: Final answer
    x = 6,530.19

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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.