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Finding the Fourth Proportional to 7,092, 9,786.96 and 4,148

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Solution

The fourth proportional to 7,092, 9,786.96 and 4,148 is: 5,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092 : 9,786.96 = 4,148 : x
  2. Step 2: Convert to fraction form
    7,092/9,786.96 = 4,148/x
  3. Step 3: Cross multiply
    7,092x = 9,786.96 × 4,148
  4. Step 4: Simplify right side
    7,092x = 40,596,310.08
  5. Step 5: Solve for x
    x = 40,596,310.08/7,092
  6. Step 6: Final answer
    x = 5,724.24

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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.