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Finding the Fourth Proportional to 8,056.20, 12,095.10 and 5,140.20

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Solution

The fourth proportional to 8,056.20, 12,095.10 and 5,140.20 is: 7,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.20 : 12,095.10 = 5,140.20 : x
  2. Step 2: Convert to fraction form
    8,056.20/12,095.10 = 5,140.20/x
  3. Step 3: Cross multiply
    8,056.20x = 12,095.10 × 5,140.20
  4. Step 4: Simplify right side
    8,056.20x = 62,171,233.02
  5. Step 5: Solve for x
    x = 62,171,233.02/8,056.20
  6. Step 6: Final answer
    x = 7,717.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.