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Finding the Fourth Proportional to 10,151.80, 15,227.16 and 3,225.76

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Solution

The fourth proportional to 10,151.80, 15,227.16 and 3,225.76 is: 4,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.80 : 15,227.16 = 3,225.76 : x
  2. Step 2: Convert to fraction form
    10,151.80/15,227.16 = 3,225.76/x
  3. Step 3: Cross multiply
    10,151.80x = 15,227.16 × 3,225.76
  4. Step 4: Simplify right side
    10,151.80x = 49,119,163.64
  5. Step 5: Solve for x
    x = 49,119,163.64/10,151.80
  6. Step 6: Final answer
    x = 4,838.47

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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.