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Finding the Fourth Proportional to 11,699.91, 17,557.02 and 5,780.57

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Solution

The fourth proportional to 11,699.91, 17,557.02 and 5,780.57 is: 8,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.91 : 17,557.02 = 5,780.57 : x
  2. Step 2: Convert to fraction form
    11,699.91/17,557.02 = 5,780.57/x
  3. Step 3: Cross multiply
    11,699.91x = 17,557.02 × 5,780.57
  4. Step 4: Simplify right side
    11,699.91x = 101,489,495.32
  5. Step 5: Solve for x
    x = 101,489,495.32/11,699.91
  6. Step 6: Final answer
    x = 8,674.38

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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.