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Finding the Fourth Proportional to 7,729.52, 11,596.62 and 2,801.48

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Solution

The fourth proportional to 7,729.52, 11,596.62 and 2,801.48 is: 4,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.52 : 11,596.62 = 2,801.48 : x
  2. Step 2: Convert to fraction form
    7,729.52/11,596.62 = 2,801.48/x
  3. Step 3: Cross multiply
    7,729.52x = 11,596.62 × 2,801.48
  4. Step 4: Simplify right side
    7,729.52x = 32,487,699.00
  5. Step 5: Solve for x
    x = 32,487,699.00/7,729.52
  6. Step 6: Final answer
    x = 4,203.07

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