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Finding the Fourth Proportional to 10,496.81, 15,736.28 and 4,650.23

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Solution

The fourth proportional to 10,496.81, 15,736.28 and 4,650.23 is: 6,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.81 : 15,736.28 = 4,650.23 : x
  2. Step 2: Convert to fraction form
    10,496.81/15,736.28 = 4,650.23/x
  3. Step 3: Cross multiply
    10,496.81x = 15,736.28 × 4,650.23
  4. Step 4: Simplify right side
    10,496.81x = 73,177,219.41
  5. Step 5: Solve for x
    x = 73,177,219.41/10,496.81
  6. Step 6: Final answer
    x = 6,971.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.