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Finding the Fourth Proportional to 11,827.50, 16,325.19 and 8,056.14

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Solution

The fourth proportional to 11,827.50, 16,325.19 and 8,056.14 is: 11,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.50 : 16,325.19 = 8,056.14 : x
  2. Step 2: Convert to fraction form
    11,827.50/16,325.19 = 8,056.14/x
  3. Step 3: Cross multiply
    11,827.50x = 16,325.19 × 8,056.14
  4. Step 4: Simplify right side
    11,827.50x = 131,518,016.17
  5. Step 5: Solve for x
    x = 131,518,016.17/11,827.50
  6. Step 6: Final answer
    x = 11,119.68

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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.