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Finding the Fourth Proportional to 10,066.82, 13,898.93 and 6,295.32

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Solution

The fourth proportional to 10,066.82, 13,898.93 and 6,295.32 is: 8,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.82 : 13,898.93 = 6,295.32 : x
  2. Step 2: Convert to fraction form
    10,066.82/13,898.93 = 6,295.32/x
  3. Step 3: Cross multiply
    10,066.82x = 13,898.93 × 6,295.32
  4. Step 4: Simplify right side
    10,066.82x = 87,498,180.53
  5. Step 5: Solve for x
    x = 87,498,180.53/10,066.82
  6. Step 6: Final answer
    x = 8,691.74

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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.