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Finding the Fourth Proportional to 10,211.58, 15,317.18 and 5,819.68

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Solution

The fourth proportional to 10,211.58, 15,317.18 and 5,819.68 is: 8,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.58 : 15,317.18 = 5,819.68 : x
  2. Step 2: Convert to fraction form
    10,211.58/15,317.18 = 5,819.68/x
  3. Step 3: Cross multiply
    10,211.58x = 15,317.18 × 5,819.68
  4. Step 4: Simplify right side
    10,211.58x = 89,141,086.10
  5. Step 5: Solve for x
    x = 89,141,086.10/10,211.58
  6. Step 6: Final answer
    x = 8,729.41

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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.