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Finding the Fourth Proportional to 8,416.32, 12,610.50 and 5,119.44

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Solution

The fourth proportional to 8,416.32, 12,610.50 and 5,119.44 is: 7,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.32 : 12,610.50 = 5,119.44 : x
  2. Step 2: Convert to fraction form
    8,416.32/12,610.50 = 5,119.44/x
  3. Step 3: Cross multiply
    8,416.32x = 12,610.50 × 5,119.44
  4. Step 4: Simplify right side
    8,416.32x = 64,558,698.12
  5. Step 5: Solve for x
    x = 64,558,698.12/8,416.32
  6. Step 6: Final answer
    x = 7,670.66

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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.