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Finding the Fourth Proportional to 8,284, 11,433.64 and 5,098.24

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Solution

The fourth proportional to 8,284, 11,433.64 and 5,098.24 is: 7,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 11,433.64 = 5,098.24 : x
  2. Step 2: Convert to fraction form
    8,284/11,433.64 = 5,098.24/x
  3. Step 3: Cross multiply
    8,284x = 11,433.64 × 5,098.24
  4. Step 4: Simplify right side
    8,284x = 58,291,440.79
  5. Step 5: Solve for x
    x = 58,291,440.79/8,284
  6. Step 6: Final answer
    x = 7,036.63

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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.