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Finding the Fourth Proportional to 11,430.12, 15,772.83 and 6,393.48

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Solution

The fourth proportional to 11,430.12, 15,772.83 and 6,393.48 is: 8,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.12 : 15,772.83 = 6,393.48 : x
  2. Step 2: Convert to fraction form
    11,430.12/15,772.83 = 6,393.48/x
  3. Step 3: Cross multiply
    11,430.12x = 15,772.83 × 6,393.48
  4. Step 4: Simplify right side
    11,430.12x = 100,843,190.02
  5. Step 5: Solve for x
    x = 100,843,190.02/11,430.12
  6. Step 6: Final answer
    x = 8,822.58

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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.