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Finding the Fourth Proportional to 10,615.68, 15,923.16 and 3,225.24

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Solution

The fourth proportional to 10,615.68, 15,923.16 and 3,225.24 is: 4,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.68 : 15,923.16 = 3,225.24 : x
  2. Step 2: Convert to fraction form
    10,615.68/15,923.16 = 3,225.24/x
  3. Step 3: Cross multiply
    10,615.68x = 15,923.16 × 3,225.24
  4. Step 4: Simplify right side
    10,615.68x = 51,356,012.56
  5. Step 5: Solve for x
    x = 51,356,012.56/10,615.68
  6. Step 6: Final answer
    x = 4,837.75

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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.