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Finding the Fourth Proportional to 8,094.18, 11,170.17 and 4,509.38

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Solution

The fourth proportional to 8,094.18, 11,170.17 and 4,509.38 is: 6,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.18 : 11,170.17 = 4,509.38 : x
  2. Step 2: Convert to fraction form
    8,094.18/11,170.17 = 4,509.38/x
  3. Step 3: Cross multiply
    8,094.18x = 11,170.17 × 4,509.38
  4. Step 4: Simplify right side
    8,094.18x = 50,370,541.19
  5. Step 5: Solve for x
    x = 50,370,541.19/8,094.18
  6. Step 6: Final answer
    x = 6,223.06

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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.