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Finding the Fourth Proportional to 8,005.14, 11,046.54 and 4,419.92

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Solution

The fourth proportional to 8,005.14, 11,046.54 and 4,419.92 is: 6,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.14 : 11,046.54 = 4,419.92 : x
  2. Step 2: Convert to fraction form
    8,005.14/11,046.54 = 4,419.92/x
  3. Step 3: Cross multiply
    8,005.14x = 11,046.54 × 4,419.92
  4. Step 4: Simplify right side
    8,005.14x = 48,824,823.08
  5. Step 5: Solve for x
    x = 48,824,823.08/8,005.14
  6. Step 6: Final answer
    x = 6,099.18

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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.