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Finding the Fourth Proportional to 11,824.68, 17,743.04 and 7,878.64

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Solution

The fourth proportional to 11,824.68, 17,743.04 and 7,878.64 is: 11,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.68 : 17,743.04 = 7,878.64 : x
  2. Step 2: Convert to fraction form
    11,824.68/17,743.04 = 7,878.64/x
  3. Step 3: Cross multiply
    11,824.68x = 17,743.04 × 7,878.64
  4. Step 4: Simplify right side
    11,824.68x = 139,791,024.67
  5. Step 5: Solve for x
    x = 139,791,024.67/11,824.68
  6. Step 6: Final answer
    x = 11,821.97

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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.