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Finding the Fourth Proportional to 8,574.63, 11,830.37 and 5,589.38

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Solution

The fourth proportional to 8,574.63, 11,830.37 and 5,589.38 is: 7,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.63 : 11,830.37 = 5,589.38 : x
  2. Step 2: Convert to fraction form
    8,574.63/11,830.37 = 5,589.38/x
  3. Step 3: Cross multiply
    8,574.63x = 11,830.37 × 5,589.38
  4. Step 4: Simplify right side
    8,574.63x = 66,124,346.37
  5. Step 5: Solve for x
    x = 66,124,346.37/8,574.63
  6. Step 6: Final answer
    x = 7,711.63

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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.