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Finding the Fourth Proportional to 11,812.32, 17,722.08 and 5,577.12

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Solution

The fourth proportional to 11,812.32, 17,722.08 and 5,577.12 is: 8,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.32 : 17,722.08 = 5,577.12 : x
  2. Step 2: Convert to fraction form
    11,812.32/17,722.08 = 5,577.12/x
  3. Step 3: Cross multiply
    11,812.32x = 17,722.08 × 5,577.12
  4. Step 4: Simplify right side
    11,812.32x = 98,838,166.81
  5. Step 5: Solve for x
    x = 98,838,166.81/11,812.32
  6. Step 6: Final answer
    x = 8,367.38

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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.