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Finding the Fourth Proportional to 7,728.57, 11,589.08 and 5,389.70

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Solution

The fourth proportional to 7,728.57, 11,589.08 and 5,389.70 is: 8,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.57 : 11,589.08 = 5,389.70 : x
  2. Step 2: Convert to fraction form
    7,728.57/11,589.08 = 5,389.70/x
  3. Step 3: Cross multiply
    7,728.57x = 11,589.08 × 5,389.70
  4. Step 4: Simplify right side
    7,728.57x = 62,461,579.58
  5. Step 5: Solve for x
    x = 62,461,579.58/7,728.57
  6. Step 6: Final answer
    x = 8,081.91

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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.