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Finding the Fourth Proportional to 10,813.02, 14,920.92 and 6,832.68

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Solution

The fourth proportional to 10,813.02, 14,920.92 and 6,832.68 is: 9,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.02 : 14,920.92 = 6,832.68 : x
  2. Step 2: Convert to fraction form
    10,813.02/14,920.92 = 6,832.68/x
  3. Step 3: Cross multiply
    10,813.02x = 14,920.92 × 6,832.68
  4. Step 4: Simplify right side
    10,813.02x = 101,949,871.67
  5. Step 5: Solve for x
    x = 101,949,871.67/10,813.02
  6. Step 6: Final answer
    x = 9,428.44

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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.