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Finding the Fourth Proportional to 8,814.90, 13,148.37 and 8,098.50

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Solution

The fourth proportional to 8,814.90, 13,148.37 and 8,098.50 is: 12,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.90 : 13,148.37 = 8,098.50 : x
  2. Step 2: Convert to fraction form
    8,814.90/13,148.37 = 8,098.50/x
  3. Step 3: Cross multiply
    8,814.90x = 13,148.37 × 8,098.50
  4. Step 4: Simplify right side
    8,814.90x = 106,482,074.45
  5. Step 5: Solve for x
    x = 106,482,074.45/8,814.90
  6. Step 6: Final answer
    x = 12,079.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.