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Finding the Fourth Proportional to 11,427.69, 17,143.68 and 5,188.14

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Solution

The fourth proportional to 11,427.69, 17,143.68 and 5,188.14 is: 7,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.69 : 17,143.68 = 5,188.14 : x
  2. Step 2: Convert to fraction form
    11,427.69/17,143.68 = 5,188.14/x
  3. Step 3: Cross multiply
    11,427.69x = 17,143.68 × 5,188.14
  4. Step 4: Simplify right side
    11,427.69x = 88,943,811.96
  5. Step 5: Solve for x
    x = 88,943,811.96/11,427.69
  6. Step 6: Final answer
    x = 7,783.18

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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.