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Finding the Fourth Proportional to 8,053.37, 12,083.91 and 4,157.77

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Solution

The fourth proportional to 8,053.37, 12,083.91 and 4,157.77 is: 6,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.37 : 12,083.91 = 4,157.77 : x
  2. Step 2: Convert to fraction form
    8,053.37/12,083.91 = 4,157.77/x
  3. Step 3: Cross multiply
    8,053.37x = 12,083.91 × 4,157.77
  4. Step 4: Simplify right side
    8,053.37x = 50,242,118.48
  5. Step 5: Solve for x
    x = 50,242,118.48/8,053.37
  6. Step 6: Final answer
    x = 6,238.65

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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.