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Finding the Fourth Proportional to 27,840.04, 41,759.52 and 7,063

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Solution

The fourth proportional to 27,840.04, 41,759.52 and 7,063 is: 10,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.04 : 41,759.52 = 7,063 : x
  2. Step 2: Convert to fraction form
    27,840.04/41,759.52 = 7,063/x
  3. Step 3: Cross multiply
    27,840.04x = 41,759.52 × 7,063
  4. Step 4: Simplify right side
    27,840.04x = 294,947,489.76
  5. Step 5: Solve for x
    x = 294,947,489.76/27,840.04
  6. Step 6: Final answer
    x = 10,594.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.