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Finding the Fourth Proportional to 10,819.34, 16,222.02 and 4,246.19

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Solution

The fourth proportional to 10,819.34, 16,222.02 and 4,246.19 is: 6,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.34 : 16,222.02 = 4,246.19 : x
  2. Step 2: Convert to fraction form
    10,819.34/16,222.02 = 4,246.19/x
  3. Step 3: Cross multiply
    10,819.34x = 16,222.02 × 4,246.19
  4. Step 4: Simplify right side
    10,819.34x = 68,881,779.10
  5. Step 5: Solve for x
    x = 68,881,779.10/10,819.34
  6. Step 6: Final answer
    x = 6,366.54

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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.