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Finding the Fourth Proportional to 7,728.48, 11,594.16 and 2,535.84

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Solution

The fourth proportional to 7,728.48, 11,594.16 and 2,535.84 is: 3,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.48 : 11,594.16 = 2,535.84 : x
  2. Step 2: Convert to fraction form
    7,728.48/11,594.16 = 2,535.84/x
  3. Step 3: Cross multiply
    7,728.48x = 11,594.16 × 2,535.84
  4. Step 4: Simplify right side
    7,728.48x = 29,400,934.69
  5. Step 5: Solve for x
    x = 29,400,934.69/7,728.48
  6. Step 6: Final answer
    x = 3,804.23

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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.