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Finding the Fourth Proportional to 11,668.34, 17,502.78 and 3,877.76

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Solution

The fourth proportional to 11,668.34, 17,502.78 and 3,877.76 is: 5,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.34 : 17,502.78 = 3,877.76 : x
  2. Step 2: Convert to fraction form
    11,668.34/17,502.78 = 3,877.76/x
  3. Step 3: Cross multiply
    11,668.34x = 17,502.78 × 3,877.76
  4. Step 4: Simplify right side
    11,668.34x = 67,871,580.17
  5. Step 5: Solve for x
    x = 67,871,580.17/11,668.34
  6. Step 6: Final answer
    x = 5,816.73

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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.