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Finding the Fourth Proportional to 11,690.83, 17,538.78 and 4,295.84

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Solution

The fourth proportional to 11,690.83, 17,538.78 and 4,295.84 is: 6,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.83 : 17,538.78 = 4,295.84 : x
  2. Step 2: Convert to fraction form
    11,690.83/17,538.78 = 4,295.84/x
  3. Step 3: Cross multiply
    11,690.83x = 17,538.78 × 4,295.84
  4. Step 4: Simplify right side
    11,690.83x = 75,343,696.93
  5. Step 5: Solve for x
    x = 75,343,696.93/11,690.83
  6. Step 6: Final answer
    x = 6,444.68

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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.