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Finding the Fourth Proportional to 10,499.25, 14,491.10 and 6,026.09

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Solution

The fourth proportional to 10,499.25, 14,491.10 and 6,026.09 is: 8,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.25 : 14,491.10 = 6,026.09 : x
  2. Step 2: Convert to fraction form
    10,499.25/14,491.10 = 6,026.09/x
  3. Step 3: Cross multiply
    10,499.25x = 14,491.10 × 6,026.09
  4. Step 4: Simplify right side
    10,499.25x = 87,324,570.21
  5. Step 5: Solve for x
    x = 87,324,570.21/10,499.25
  6. Step 6: Final answer
    x = 8,317.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.