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Finding the Fourth Proportional to 11,767.52, 16,238.75 and 6,462.02

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Solution

The fourth proportional to 11,767.52, 16,238.75 and 6,462.02 is: 8,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.52 : 16,238.75 = 6,462.02 : x
  2. Step 2: Convert to fraction form
    11,767.52/16,238.75 = 6,462.02/x
  3. Step 3: Cross multiply
    11,767.52x = 16,238.75 × 6,462.02
  4. Step 4: Simplify right side
    11,767.52x = 104,935,135.56
  5. Step 5: Solve for x
    x = 104,935,135.56/11,767.52
  6. Step 6: Final answer
    x = 8,917.35

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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.