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Finding the Fourth Proportional to 11,711.34, 17,566.77 and 4,785.90

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Solution

The fourth proportional to 11,711.34, 17,566.77 and 4,785.90 is: 7,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.34 : 17,566.77 = 4,785.90 : x
  2. Step 2: Convert to fraction form
    11,711.34/17,566.77 = 4,785.90/x
  3. Step 3: Cross multiply
    11,711.34x = 17,566.77 × 4,785.90
  4. Step 4: Simplify right side
    11,711.34x = 84,072,804.54
  5. Step 5: Solve for x
    x = 84,072,804.54/11,711.34
  6. Step 6: Final answer
    x = 7,178.75

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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.