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Finding the Fourth Proportional to 8,022.54, 11,071.54 and 4,836.86

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Solution

The fourth proportional to 8,022.54, 11,071.54 and 4,836.86 is: 6,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.54 : 11,071.54 = 4,836.86 : x
  2. Step 2: Convert to fraction form
    8,022.54/11,071.54 = 4,836.86/x
  3. Step 3: Cross multiply
    8,022.54x = 11,071.54 × 4,836.86
  4. Step 4: Simplify right side
    8,022.54x = 53,551,488.96
  5. Step 5: Solve for x
    x = 53,551,488.96/8,022.54
  6. Step 6: Final answer
    x = 6,675.13

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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.