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Finding the Fourth Proportional to 8,533.94, 11,773.35 and 5,170.91

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Solution

The fourth proportional to 8,533.94, 11,773.35 and 5,170.91 is: 7,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.94 : 11,773.35 = 5,170.91 : x
  2. Step 2: Convert to fraction form
    8,533.94/11,773.35 = 5,170.91/x
  3. Step 3: Cross multiply
    8,533.94x = 11,773.35 × 5,170.91
  4. Step 4: Simplify right side
    8,533.94x = 60,878,874.38
  5. Step 5: Solve for x
    x = 60,878,874.38/8,533.94
  6. Step 6: Final answer
    x = 7,133.74

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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.