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Finding the Fourth Proportional to 11,877.12, 17,813.76 and 3,668.48

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Solution

The fourth proportional to 11,877.12, 17,813.76 and 3,668.48 is: 5,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.12 : 17,813.76 = 3,668.48 : x
  2. Step 2: Convert to fraction form
    11,877.12/17,813.76 = 3,668.48/x
  3. Step 3: Cross multiply
    11,877.12x = 17,813.76 × 3,668.48
  4. Step 4: Simplify right side
    11,877.12x = 65,349,422.28
  5. Step 5: Solve for x
    x = 65,349,422.28/11,877.12
  6. Step 6: Final answer
    x = 5,502.13

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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.