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Finding the Fourth Proportional to 10,945.70, 15,104.16 and 6,469.64

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Solution

The fourth proportional to 10,945.70, 15,104.16 and 6,469.64 is: 8,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.70 : 15,104.16 = 6,469.64 : x
  2. Step 2: Convert to fraction form
    10,945.70/15,104.16 = 6,469.64/x
  3. Step 3: Cross multiply
    10,945.70x = 15,104.16 × 6,469.64
  4. Step 4: Simplify right side
    10,945.70x = 97,718,402.18
  5. Step 5: Solve for x
    x = 97,718,402.18/10,945.70
  6. Step 6: Final answer
    x = 8,927.56

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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.