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Finding the Fourth Proportional to 11,633.95, 17,447.84 and 5,058.64

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Solution

The fourth proportional to 11,633.95, 17,447.84 and 5,058.64 is: 7,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.95 : 17,447.84 = 5,058.64 : x
  2. Step 2: Convert to fraction form
    11,633.95/17,447.84 = 5,058.64/x
  3. Step 3: Cross multiply
    11,633.95x = 17,447.84 × 5,058.64
  4. Step 4: Simplify right side
    11,633.95x = 88,262,228.81
  5. Step 5: Solve for x
    x = 88,262,228.81/11,633.95
  6. Step 6: Final answer
    x = 7,586.61

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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.