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Finding the Fourth Proportional to 10,880.27, 15,014.75 and 6,164.54

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Solution

The fourth proportional to 10,880.27, 15,014.75 and 6,164.54 is: 8,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.27 : 15,014.75 = 6,164.54 : x
  2. Step 2: Convert to fraction form
    10,880.27/15,014.75 = 6,164.54/x
  3. Step 3: Cross multiply
    10,880.27x = 15,014.75 × 6,164.54
  4. Step 4: Simplify right side
    10,880.27x = 92,559,026.97
  5. Step 5: Solve for x
    x = 92,559,026.97/10,880.27
  6. Step 6: Final answer
    x = 8,507.05

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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.