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Finding the Fourth Proportional to 10,826.58, 16,219.14 and 6,430.68

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Solution

The fourth proportional to 10,826.58, 16,219.14 and 6,430.68 is: 9,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.58 : 16,219.14 = 6,430.68 : x
  2. Step 2: Convert to fraction form
    10,826.58/16,219.14 = 6,430.68/x
  3. Step 3: Cross multiply
    10,826.58x = 16,219.14 × 6,430.68
  4. Step 4: Simplify right side
    10,826.58x = 104,300,099.22
  5. Step 5: Solve for x
    x = 104,300,099.22/10,826.58
  6. Step 6: Final answer
    x = 9,633.71

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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.