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Finding the Fourth Proportional to 7,739.52, 11,596.50 and 4,036.20

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Solution

The fourth proportional to 7,739.52, 11,596.50 and 4,036.20 is: 6,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.52 : 11,596.50 = 4,036.20 : x
  2. Step 2: Convert to fraction form
    7,739.52/11,596.50 = 4,036.20/x
  3. Step 3: Cross multiply
    7,739.52x = 11,596.50 × 4,036.20
  4. Step 4: Simplify right side
    7,739.52x = 46,805,793.30
  5. Step 5: Solve for x
    x = 46,805,793.30/7,739.52
  6. Step 6: Final answer
    x = 6,047.64

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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.