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Finding the Fourth Proportional to 10,379.76, 15,584.21 and 5,317.58

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Solution

The fourth proportional to 10,379.76, 15,584.21 and 5,317.58 is: 7,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.76 : 15,584.21 = 5,317.58 : x
  2. Step 2: Convert to fraction form
    10,379.76/15,584.21 = 5,317.58/x
  3. Step 3: Cross multiply
    10,379.76x = 15,584.21 × 5,317.58
  4. Step 4: Simplify right side
    10,379.76x = 82,870,283.41
  5. Step 5: Solve for x
    x = 82,870,283.41/10,379.76
  6. Step 6: Final answer
    x = 7,983.83

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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.