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Finding the Fourth Proportional to 8,139.65, 11,232.77 and 4,783.55

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Solution

The fourth proportional to 8,139.65, 11,232.77 and 4,783.55 is: 6,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.65 : 11,232.77 = 4,783.55 : x
  2. Step 2: Convert to fraction form
    8,139.65/11,232.77 = 4,783.55/x
  3. Step 3: Cross multiply
    8,139.65x = 11,232.77 × 4,783.55
  4. Step 4: Simplify right side
    8,139.65x = 53,732,436.85
  5. Step 5: Solve for x
    x = 53,732,436.85/8,139.65
  6. Step 6: Final answer
    x = 6,601.32

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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.