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Finding the Fourth Proportional to 10,859.85, 14,986.38 and 6,079.80

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Solution

The fourth proportional to 10,859.85, 14,986.38 and 6,079.80 is: 8,390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.85 : 14,986.38 = 6,079.80 : x
  2. Step 2: Convert to fraction form
    10,859.85/14,986.38 = 6,079.80/x
  3. Step 3: Cross multiply
    10,859.85x = 14,986.38 × 6,079.80
  4. Step 4: Simplify right side
    10,859.85x = 91,114,181.72
  5. Step 5: Solve for x
    x = 91,114,181.72/10,859.85
  6. Step 6: Final answer
    x = 8,390.01

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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.