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Finding the Fourth Proportional to 10,275.99, 15,414.67 and 3,611.67

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Solution

The fourth proportional to 10,275.99, 15,414.67 and 3,611.67 is: 5,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.99 : 15,414.67 = 3,611.67 : x
  2. Step 2: Convert to fraction form
    10,275.99/15,414.67 = 3,611.67/x
  3. Step 3: Cross multiply
    10,275.99x = 15,414.67 × 3,611.67
  4. Step 4: Simplify right side
    10,275.99x = 55,672,701.20
  5. Step 5: Solve for x
    x = 55,672,701.20/10,275.99
  6. Step 6: Final answer
    x = 5,417.75

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Why These Related Problems?

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