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Finding the Fourth Proportional to 11,577.74, 17,389.88 and 6,906.87

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Solution

The fourth proportional to 11,577.74, 17,389.88 and 6,906.87 is: 10,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.74 : 17,389.88 = 6,906.87 : x
  2. Step 2: Convert to fraction form
    11,577.74/17,389.88 = 6,906.87/x
  3. Step 3: Cross multiply
    11,577.74x = 17,389.88 × 6,906.87
  4. Step 4: Simplify right side
    11,577.74x = 120,109,697.05
  5. Step 5: Solve for x
    x = 120,109,697.05/11,577.74
  6. Step 6: Final answer
    x = 10,374.19

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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.