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Finding the Fourth Proportional to 7,758.36, 10,706.28 and 4,401

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Solution

The fourth proportional to 7,758.36, 10,706.28 and 4,401 is: 6,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.36 : 10,706.28 = 4,401 : x
  2. Step 2: Convert to fraction form
    7,758.36/10,706.28 = 4,401/x
  3. Step 3: Cross multiply
    7,758.36x = 10,706.28 × 4,401
  4. Step 4: Simplify right side
    7,758.36x = 47,118,338.28
  5. Step 5: Solve for x
    x = 47,118,338.28/7,758.36
  6. Step 6: Final answer
    x = 6,073.23

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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.