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Finding the Fourth Proportional to 8,498.52, 12,738.67 and 4,109.94

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Solution

The fourth proportional to 8,498.52, 12,738.67 and 4,109.94 is: 6,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.52 : 12,738.67 = 4,109.94 : x
  2. Step 2: Convert to fraction form
    8,498.52/12,738.67 = 4,109.94/x
  3. Step 3: Cross multiply
    8,498.52x = 12,738.67 × 4,109.94
  4. Step 4: Simplify right side
    8,498.52x = 52,355,159.10
  5. Step 5: Solve for x
    x = 52,355,159.10/8,498.52
  6. Step 6: Final answer
    x = 6,160.50

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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.