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Finding the Fourth Proportional to 8,064.96, 12,094.32 and 2,798.40

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Solution

The fourth proportional to 8,064.96, 12,094.32 and 2,798.40 is: 4,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.96 : 12,094.32 = 2,798.40 : x
  2. Step 2: Convert to fraction form
    8,064.96/12,094.32 = 2,798.40/x
  3. Step 3: Cross multiply
    8,064.96x = 12,094.32 × 2,798.40
  4. Step 4: Simplify right side
    8,064.96x = 33,844,745.09
  5. Step 5: Solve for x
    x = 33,844,745.09/8,064.96
  6. Step 6: Final answer
    x = 4,196.52

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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.