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Finding the Fourth Proportional to 7,709.69, 10,639.38 and 4,172.90

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Solution

The fourth proportional to 7,709.69, 10,639.38 and 4,172.90 is: 5,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.69 : 10,639.38 = 4,172.90 : x
  2. Step 2: Convert to fraction form
    7,709.69/10,639.38 = 4,172.90/x
  3. Step 3: Cross multiply
    7,709.69x = 10,639.38 × 4,172.90
  4. Step 4: Simplify right side
    7,709.69x = 44,397,031.25
  5. Step 5: Solve for x
    x = 44,397,031.25/7,709.69
  6. Step 6: Final answer
    x = 5,758.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.