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Finding the Fourth Proportional to 7,728.79, 11,594.01 and 2,535.07

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Solution

The fourth proportional to 7,728.79, 11,594.01 and 2,535.07 is: 3,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.79 : 11,594.01 = 2,535.07 : x
  2. Step 2: Convert to fraction form
    7,728.79/11,594.01 = 2,535.07/x
  3. Step 3: Cross multiply
    7,728.79x = 11,594.01 × 2,535.07
  4. Step 4: Simplify right side
    7,728.79x = 29,391,626.93
  5. Step 5: Solve for x
    x = 29,391,626.93/7,728.79
  6. Step 6: Final answer
    x = 3,802.88

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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.