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Finding the Fourth Proportional to 7,759.32, 10,706.04 and 4,401.36

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Solution

The fourth proportional to 7,759.32, 10,706.04 and 4,401.36 is: 6,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.32 : 10,706.04 = 4,401.36 : x
  2. Step 2: Convert to fraction form
    7,759.32/10,706.04 = 4,401.36/x
  3. Step 3: Cross multiply
    7,759.32x = 10,706.04 × 4,401.36
  4. Step 4: Simplify right side
    7,759.32x = 47,121,136.21
  5. Step 5: Solve for x
    x = 47,121,136.21/7,759.32
  6. Step 6: Final answer
    x = 6,072.84

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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.