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Finding the Fourth Proportional to 11,389.76, 17,078.88 and 5,841.92

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Solution

The fourth proportional to 11,389.76, 17,078.88 and 5,841.92 is: 8,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.76 : 17,078.88 = 5,841.92 : x
  2. Step 2: Convert to fraction form
    11,389.76/17,078.88 = 5,841.92/x
  3. Step 3: Cross multiply
    11,389.76x = 17,078.88 × 5,841.92
  4. Step 4: Simplify right side
    11,389.76x = 99,773,450.65
  5. Step 5: Solve for x
    x = 99,773,450.65/11,389.76
  6. Step 6: Final answer
    x = 8,759.93

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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.