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Finding the Fourth Proportional to 11,173.92, 15,420.06 and 6,138.60

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Solution

The fourth proportional to 11,173.92, 15,420.06 and 6,138.60 is: 8,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.92 : 15,420.06 = 6,138.60 : x
  2. Step 2: Convert to fraction form
    11,173.92/15,420.06 = 6,138.60/x
  3. Step 3: Cross multiply
    11,173.92x = 15,420.06 × 6,138.60
  4. Step 4: Simplify right side
    11,173.92x = 94,657,580.32
  5. Step 5: Solve for x
    x = 94,657,580.32/11,173.92
  6. Step 6: Final answer
    x = 8,471.30

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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.