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Finding the Fourth Proportional to 27,785.10, 41,677.65 and 7,008.60

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Solution

The fourth proportional to 27,785.10, 41,677.65 and 7,008.60 is: 10,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.10 : 41,677.65 = 7,008.60 : x
  2. Step 2: Convert to fraction form
    27,785.10/41,677.65 = 7,008.60/x
  3. Step 3: Cross multiply
    27,785.10x = 41,677.65 × 7,008.60
  4. Step 4: Simplify right side
    27,785.10x = 292,101,977.79
  5. Step 5: Solve for x
    x = 292,101,977.79/27,785.10
  6. Step 6: Final answer
    x = 10,512.90

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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.