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Finding the Fourth Proportional to 7,588.69, 11,384.48 and 3,428.65

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Solution

The fourth proportional to 7,588.69, 11,384.48 and 3,428.65 is: 5,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.69 : 11,384.48 = 3,428.65 : x
  2. Step 2: Convert to fraction form
    7,588.69/11,384.48 = 3,428.65/x
  3. Step 3: Cross multiply
    7,588.69x = 11,384.48 × 3,428.65
  4. Step 4: Simplify right side
    7,588.69x = 39,033,380.21
  5. Step 5: Solve for x
    x = 39,033,380.21/7,588.69
  6. Step 6: Final answer
    x = 5,143.63

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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.