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Finding the Fourth Proportional to 7,779.96, 10,684.17 and 6,660.90

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Solution

The fourth proportional to 7,779.96, 10,684.17 and 6,660.90 is: 9,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.96 : 10,684.17 = 6,660.90 : x
  2. Step 2: Convert to fraction form
    7,779.96/10,684.17 = 6,660.90/x
  3. Step 3: Cross multiply
    7,779.96x = 10,684.17 × 6,660.90
  4. Step 4: Simplify right side
    7,779.96x = 71,166,187.95
  5. Step 5: Solve for x
    x = 71,166,187.95/7,779.96
  6. Step 6: Final answer
    x = 9,147.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.