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Finding the Fourth Proportional to 8,053.12, 12,083.54 and 4,157.53

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Solution

The fourth proportional to 8,053.12, 12,083.54 and 4,157.53 is: 6,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.12 : 12,083.54 = 4,157.53 : x
  2. Step 2: Convert to fraction form
    8,053.12/12,083.54 = 4,157.53/x
  3. Step 3: Cross multiply
    8,053.12x = 12,083.54 × 4,157.53
  4. Step 4: Simplify right side
    8,053.12x = 50,237,619.64
  5. Step 5: Solve for x
    x = 50,237,619.64/8,053.12
  6. Step 6: Final answer
    x = 6,238.28

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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.