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Finding the Fourth Proportional to 7,795.96, 11,678.52 and 4,092.64

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Solution

The fourth proportional to 7,795.96, 11,678.52 and 4,092.64 is: 6,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.96 : 11,678.52 = 4,092.64 : x
  2. Step 2: Convert to fraction form
    7,795.96/11,678.52 = 4,092.64/x
  3. Step 3: Cross multiply
    7,795.96x = 11,678.52 × 4,092.64
  4. Step 4: Simplify right side
    7,795.96x = 47,795,978.09
  5. Step 5: Solve for x
    x = 47,795,978.09/7,795.96
  6. Step 6: Final answer
    x = 6,130.86

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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.