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Finding the Fourth Proportional to 8,498.40, 11,728.34 and 5,141.35

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Solution

The fourth proportional to 8,498.40, 11,728.34 and 5,141.35 is: 7,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.40 : 11,728.34 = 5,141.35 : x
  2. Step 2: Convert to fraction form
    8,498.40/11,728.34 = 5,141.35/x
  3. Step 3: Cross multiply
    8,498.40x = 11,728.34 × 5,141.35
  4. Step 4: Simplify right side
    8,498.40x = 60,299,500.86
  5. Step 5: Solve for x
    x = 60,299,500.86/8,498.40
  6. Step 6: Final answer
    x = 7,095.39

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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.