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Finding the Fourth Proportional to 7,124.56, 10,689 and 3,664.24

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Solution

The fourth proportional to 7,124.56, 10,689 and 3,664.24 is: 5,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.56 : 10,689 = 3,664.24 : x
  2. Step 2: Convert to fraction form
    7,124.56/10,689 = 3,664.24/x
  3. Step 3: Cross multiply
    7,124.56x = 10,689 × 3,664.24
  4. Step 4: Simplify right side
    7,124.56x = 39,167,061.36
  5. Step 5: Solve for x
    x = 39,167,061.36/7,124.56
  6. Step 6: Final answer
    x = 5,497.47

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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.