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Finding the Fourth Proportional to 11,507.64, 17,233.77 and 6,562.29

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Solution

The fourth proportional to 11,507.64, 17,233.77 and 6,562.29 is: 9,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.64 : 17,233.77 = 6,562.29 : x
  2. Step 2: Convert to fraction form
    11,507.64/17,233.77 = 6,562.29/x
  3. Step 3: Cross multiply
    11,507.64x = 17,233.77 × 6,562.29
  4. Step 4: Simplify right side
    11,507.64x = 113,092,996.53
  5. Step 5: Solve for x
    x = 113,092,996.53/11,507.64
  6. Step 6: Final answer
    x = 9,827.64

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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.