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Finding the Fourth Proportional to 7,078.08, 9,766.62 and 4,094.04

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Solution

The fourth proportional to 7,078.08, 9,766.62 and 4,094.04 is: 5,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.08 : 9,766.62 = 4,094.04 : x
  2. Step 2: Convert to fraction form
    7,078.08/9,766.62 = 4,094.04/x
  3. Step 3: Cross multiply
    7,078.08x = 9,766.62 × 4,094.04
  4. Step 4: Simplify right side
    7,078.08x = 39,984,932.94
  5. Step 5: Solve for x
    x = 39,984,932.94/7,078.08
  6. Step 6: Final answer
    x = 5,649.12

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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.