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Finding the Fourth Proportional to 11,643.17, 17,449.17 and 5,710.98

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Solution

The fourth proportional to 11,643.17, 17,449.17 and 5,710.98 is: 8,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.17 : 17,449.17 = 5,710.98 : x
  2. Step 2: Convert to fraction form
    11,643.17/17,449.17 = 5,710.98/x
  3. Step 3: Cross multiply
    11,643.17x = 17,449.17 × 5,710.98
  4. Step 4: Simplify right side
    11,643.17x = 99,651,860.89
  5. Step 5: Solve for x
    x = 99,651,860.89/11,643.17
  6. Step 6: Final answer
    x = 8,558.83

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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.