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Finding the Fourth Proportional to 10,805.04, 16,182.36 and 8,320.14

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Solution

The fourth proportional to 10,805.04, 16,182.36 and 8,320.14 is: 12,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.04 : 16,182.36 = 8,320.14 : x
  2. Step 2: Convert to fraction form
    10,805.04/16,182.36 = 8,320.14/x
  3. Step 3: Cross multiply
    10,805.04x = 16,182.36 × 8,320.14
  4. Step 4: Simplify right side
    10,805.04x = 134,639,500.73
  5. Step 5: Solve for x
    x = 134,639,500.73/10,805.04
  6. Step 6: Final answer
    x = 12,460.81

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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.