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Finding the Fourth Proportional to 7,685.89, 11,529.07 and 3,005.71

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Solution

The fourth proportional to 7,685.89, 11,529.07 and 3,005.71 is: 4,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.89 : 11,529.07 = 3,005.71 : x
  2. Step 2: Convert to fraction form
    7,685.89/11,529.07 = 3,005.71/x
  3. Step 3: Cross multiply
    7,685.89x = 11,529.07 × 3,005.71
  4. Step 4: Simplify right side
    7,685.89x = 34,653,004.65
  5. Step 5: Solve for x
    x = 34,653,004.65/7,685.89
  6. Step 6: Final answer
    x = 4,508.65

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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.