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Finding the Fourth Proportional to 10,580.36, 15,793.28 and 9,809.44

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Solution

The fourth proportional to 10,580.36, 15,793.28 and 9,809.44 is: 14,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.36 : 15,793.28 = 9,809.44 : x
  2. Step 2: Convert to fraction form
    10,580.36/15,793.28 = 9,809.44/x
  3. Step 3: Cross multiply
    10,580.36x = 15,793.28 × 9,809.44
  4. Step 4: Simplify right side
    10,580.36x = 154,923,180.82
  5. Step 5: Solve for x
    x = 154,923,180.82/10,580.36
  6. Step 6: Final answer
    x = 14,642.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.