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Finding the Fourth Proportional to 8,130.76, 11,219.34 and 4,986.28

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Solution

The fourth proportional to 8,130.76, 11,219.34 and 4,986.28 is: 6,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.76 : 11,219.34 = 4,986.28 : x
  2. Step 2: Convert to fraction form
    8,130.76/11,219.34 = 4,986.28/x
  3. Step 3: Cross multiply
    8,130.76x = 11,219.34 × 4,986.28
  4. Step 4: Simplify right side
    8,130.76x = 55,942,770.66
  5. Step 5: Solve for x
    x = 55,942,770.66/8,130.76
  6. Step 6: Final answer
    x = 6,880.39

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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.