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Finding the Fourth Proportional to 11,633.87, 17,454.47 and 3,848.15

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Solution

The fourth proportional to 11,633.87, 17,454.47 and 3,848.15 is: 5,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.87 : 17,454.47 = 3,848.15 : x
  2. Step 2: Convert to fraction form
    11,633.87/17,454.47 = 3,848.15/x
  3. Step 3: Cross multiply
    11,633.87x = 17,454.47 × 3,848.15
  4. Step 4: Simplify right side
    11,633.87x = 67,167,312.22
  5. Step 5: Solve for x
    x = 67,167,312.22/11,633.87
  6. Step 6: Final answer
    x = 5,773.43

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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.