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Finding the Fourth Proportional to 7,850.90, 11,764.55 and 7,110.02

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Solution

The fourth proportional to 7,850.90, 11,764.55 and 7,110.02 is: 10,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.90 : 11,764.55 = 7,110.02 : x
  2. Step 2: Convert to fraction form
    7,850.90/11,764.55 = 7,110.02/x
  3. Step 3: Cross multiply
    7,850.90x = 11,764.55 × 7,110.02
  4. Step 4: Simplify right side
    7,850.90x = 83,646,091.42
  5. Step 5: Solve for x
    x = 83,646,091.42/7,850.90
  6. Step 6: Final answer
    x = 10,654.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.