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Finding the Fourth Proportional to 7,055.10, 9,735.39 and 3,910.68

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Solution

The fourth proportional to 7,055.10, 9,735.39 and 3,910.68 is: 5,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.10 : 9,735.39 = 3,910.68 : x
  2. Step 2: Convert to fraction form
    7,055.10/9,735.39 = 3,910.68/x
  3. Step 3: Cross multiply
    7,055.10x = 9,735.39 × 3,910.68
  4. Step 4: Simplify right side
    7,055.10x = 38,071,994.97
  5. Step 5: Solve for x
    x = 38,071,994.97/7,055.10
  6. Step 6: Final answer
    x = 5,396.38

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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.