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Finding the Fourth Proportional to 11,937.36, 17,881.65 and 5,678.43

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Solution

The fourth proportional to 11,937.36, 17,881.65 and 5,678.43 is: 8,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.36 : 17,881.65 = 5,678.43 : x
  2. Step 2: Convert to fraction form
    11,937.36/17,881.65 = 5,678.43/x
  3. Step 3: Cross multiply
    11,937.36x = 17,881.65 × 5,678.43
  4. Step 4: Simplify right side
    11,937.36x = 101,539,697.81
  5. Step 5: Solve for x
    x = 101,539,697.81/11,937.36
  6. Step 6: Final answer
    x = 8,506.04

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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.