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Finding the Fourth Proportional to 10,224.72, 15,315.50 and 4,682.72

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Solution

The fourth proportional to 10,224.72, 15,315.50 and 4,682.72 is: 7,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.72 : 15,315.50 = 4,682.72 : x
  2. Step 2: Convert to fraction form
    10,224.72/15,315.50 = 4,682.72/x
  3. Step 3: Cross multiply
    10,224.72x = 15,315.50 × 4,682.72
  4. Step 4: Simplify right side
    10,224.72x = 71,718,198.16
  5. Step 5: Solve for x
    x = 71,718,198.16/10,224.72
  6. Step 6: Final answer
    x = 7,014.20

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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.