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Finding the Fourth Proportional to 11,924.48, 17,884.16 and 7,480

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Solution

The fourth proportional to 11,924.48, 17,884.16 and 7,480 is: 11,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.48 : 17,884.16 = 7,480 : x
  2. Step 2: Convert to fraction form
    11,924.48/17,884.16 = 7,480/x
  3. Step 3: Cross multiply
    11,924.48x = 17,884.16 × 7,480
  4. Step 4: Simplify right side
    11,924.48x = 133,773,516.80
  5. Step 5: Solve for x
    x = 133,773,516.80/11,924.48
  6. Step 6: Final answer
    x = 11,218.39

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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.