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Finding the Fourth Proportional to 8,056.29, 11,116.95 and 4,471.23

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Solution

The fourth proportional to 8,056.29, 11,116.95 and 4,471.23 is: 6,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.29 : 11,116.95 = 4,471.23 : x
  2. Step 2: Convert to fraction form
    8,056.29/11,116.95 = 4,471.23/x
  3. Step 3: Cross multiply
    8,056.29x = 11,116.95 × 4,471.23
  4. Step 4: Simplify right side
    8,056.29x = 49,706,440.35
  5. Step 5: Solve for x
    x = 49,706,440.35/8,056.29
  6. Step 6: Final answer
    x = 6,169.89

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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.