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Finding the Fourth Proportional to 11,633.88, 17,433.50 and 5,056.47

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Solution

The fourth proportional to 11,633.88, 17,433.50 and 5,056.47 is: 7,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.88 : 17,433.50 = 5,056.47 : x
  2. Step 2: Convert to fraction form
    11,633.88/17,433.50 = 5,056.47/x
  3. Step 3: Cross multiply
    11,633.88x = 17,433.50 × 5,056.47
  4. Step 4: Simplify right side
    11,633.88x = 88,151,944.46
  5. Step 5: Solve for x
    x = 88,151,944.46/11,633.88
  6. Step 6: Final answer
    x = 7,577.17

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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.