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Finding the Fourth Proportional to 8,815.14, 12,135.24 and 6,825.06

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Solution

The fourth proportional to 8,815.14, 12,135.24 and 6,825.06 is: 9,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.14 : 12,135.24 = 6,825.06 : x
  2. Step 2: Convert to fraction form
    8,815.14/12,135.24 = 6,825.06/x
  3. Step 3: Cross multiply
    8,815.14x = 12,135.24 × 6,825.06
  4. Step 4: Simplify right side
    8,815.14x = 82,823,741.11
  5. Step 5: Solve for x
    x = 82,823,741.11/8,815.14
  6. Step 6: Final answer
    x = 9,395.62

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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.