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Finding the Fourth Proportional to 12,057.96, 16,640.28 and 6,753.86

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Solution

The fourth proportional to 12,057.96, 16,640.28 and 6,753.86 is: 9,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.96 : 16,640.28 = 6,753.86 : x
  2. Step 2: Convert to fraction form
    12,057.96/16,640.28 = 6,753.86/x
  3. Step 3: Cross multiply
    12,057.96x = 16,640.28 × 6,753.86
  4. Step 4: Simplify right side
    12,057.96x = 112,386,038.28
  5. Step 5: Solve for x
    x = 112,386,038.28/12,057.96
  6. Step 6: Final answer
    x = 9,320.49

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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.