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Finding the Fourth Proportional to 11,785.96, 17,686.50 and 4,861

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Solution

The fourth proportional to 11,785.96, 17,686.50 and 4,861 is: 7,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.96 : 17,686.50 = 4,861 : x
  2. Step 2: Convert to fraction form
    11,785.96/17,686.50 = 4,861/x
  3. Step 3: Cross multiply
    11,785.96x = 17,686.50 × 4,861
  4. Step 4: Simplify right side
    11,785.96x = 85,974,076.50
  5. Step 5: Solve for x
    x = 85,974,076.50/11,785.96
  6. Step 6: Final answer
    x = 7,294.62

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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.