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Finding the Fourth Proportional to 8,053.16, 12,083.18 and 4,160.30

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Solution

The fourth proportional to 8,053.16, 12,083.18 and 4,160.30 is: 6,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.16 : 12,083.18 = 4,160.30 : x
  2. Step 2: Convert to fraction form
    8,053.16/12,083.18 = 4,160.30/x
  3. Step 3: Cross multiply
    8,053.16x = 12,083.18 × 4,160.30
  4. Step 4: Simplify right side
    8,053.16x = 50,269,572.54
  5. Step 5: Solve for x
    x = 50,269,572.54/8,053.16
  6. Step 6: Final answer
    x = 6,242.22

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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.