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Finding the Fourth Proportional to 11,678.77, 17,508.37 and 5,099.95

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Solution

The fourth proportional to 11,678.77, 17,508.37 and 5,099.95 is: 7,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.77 : 17,508.37 = 5,099.95 : x
  2. Step 2: Convert to fraction form
    11,678.77/17,508.37 = 5,099.95/x
  3. Step 3: Cross multiply
    11,678.77x = 17,508.37 × 5,099.95
  4. Step 4: Simplify right side
    11,678.77x = 89,291,811.58
  5. Step 5: Solve for x
    x = 89,291,811.58/11,678.77
  6. Step 6: Final answer
    x = 7,645.65

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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.