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Finding the Fourth Proportional to 10,285.76, 14,181.09 and 8,395.40

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Solution

The fourth proportional to 10,285.76, 14,181.09 and 8,395.40 is: 11,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.76 : 14,181.09 = 8,395.40 : x
  2. Step 2: Convert to fraction form
    10,285.76/14,181.09 = 8,395.40/x
  3. Step 3: Cross multiply
    10,285.76x = 14,181.09 × 8,395.40
  4. Step 4: Simplify right side
    10,285.76x = 119,055,922.99
  5. Step 5: Solve for x
    x = 119,055,922.99/10,285.76
  6. Step 6: Final answer
    x = 11,574.83

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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.