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Finding the Fourth Proportional to 10,952.22, 15,114.05 and 6,236.50

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Solution

The fourth proportional to 10,952.22, 15,114.05 and 6,236.50 is: 8,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.22 : 15,114.05 = 6,236.50 : x
  2. Step 2: Convert to fraction form
    10,952.22/15,114.05 = 6,236.50/x
  3. Step 3: Cross multiply
    10,952.22x = 15,114.05 × 6,236.50
  4. Step 4: Simplify right side
    10,952.22x = 94,258,783.92
  5. Step 5: Solve for x
    x = 94,258,783.92/10,952.22
  6. Step 6: Final answer
    x = 8,606.36

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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.