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Finding the Fourth Proportional to 8,770.47, 12,103.26 and 4,993.47

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Solution

The fourth proportional to 8,770.47, 12,103.26 and 4,993.47 is: 6,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.47 : 12,103.26 = 4,993.47 : x
  2. Step 2: Convert to fraction form
    8,770.47/12,103.26 = 4,993.47/x
  3. Step 3: Cross multiply
    8,770.47x = 12,103.26 × 4,993.47
  4. Step 4: Simplify right side
    8,770.47x = 60,437,265.71
  5. Step 5: Solve for x
    x = 60,437,265.71/8,770.47
  6. Step 6: Final answer
    x = 6,891.00

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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.