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Finding the Fourth Proportional to 11,633.15, 16,038.92 and 7,537.73

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Solution

The fourth proportional to 11,633.15, 16,038.92 and 7,537.73 is: 10,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.15 : 16,038.92 = 7,537.73 : x
  2. Step 2: Convert to fraction form
    11,633.15/16,038.92 = 7,537.73/x
  3. Step 3: Cross multiply
    11,633.15x = 16,038.92 × 7,537.73
  4. Step 4: Simplify right side
    11,633.15x = 120,896,987.10
  5. Step 5: Solve for x
    x = 120,896,987.10/11,633.15
  6. Step 6: Final answer
    x = 10,392.45

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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.