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Finding the Fourth Proportional to 7,758.88, 10,706.44 and 4,400.62

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Solution

The fourth proportional to 7,758.88, 10,706.44 and 4,400.62 is: 6,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.88 : 10,706.44 = 4,400.62 : x
  2. Step 2: Convert to fraction form
    7,758.88/10,706.44 = 4,400.62/x
  3. Step 3: Cross multiply
    7,758.88x = 10,706.44 × 4,400.62
  4. Step 4: Simplify right side
    7,758.88x = 47,114,973.99
  5. Step 5: Solve for x
    x = 47,114,973.99/7,758.88
  6. Step 6: Final answer
    x = 6,072.39

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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.