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Finding the Fourth Proportional to 11,623.05, 16,039.04 and 6,906.42

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Solution

The fourth proportional to 11,623.05, 16,039.04 and 6,906.42 is: 9,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.05 : 16,039.04 = 6,906.42 : x
  2. Step 2: Convert to fraction form
    11,623.05/16,039.04 = 6,906.42/x
  3. Step 3: Cross multiply
    11,623.05x = 16,039.04 × 6,906.42
  4. Step 4: Simplify right side
    11,623.05x = 110,772,312.10
  5. Step 5: Solve for x
    x = 110,772,312.10/11,623.05
  6. Step 6: Final answer
    x = 9,530.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.