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Finding the Fourth Proportional to 7,166.78, 9,886.56 and 5,400.80

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Solution

The fourth proportional to 7,166.78, 9,886.56 and 5,400.80 is: 7,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.78 : 9,886.56 = 5,400.80 : x
  2. Step 2: Convert to fraction form
    7,166.78/9,886.56 = 5,400.80/x
  3. Step 3: Cross multiply
    7,166.78x = 9,886.56 × 5,400.80
  4. Step 4: Simplify right side
    7,166.78x = 53,395,333.25
  5. Step 5: Solve for x
    x = 53,395,333.25/7,166.78
  6. Step 6: Final answer
    x = 7,450.39

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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.