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Finding the Fourth Proportional to 7,569.75, 10,446.17 and 4,212.50

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Solution

The fourth proportional to 7,569.75, 10,446.17 and 4,212.50 is: 5,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.75 : 10,446.17 = 4,212.50 : x
  2. Step 2: Convert to fraction form
    7,569.75/10,446.17 = 4,212.50/x
  3. Step 3: Cross multiply
    7,569.75x = 10,446.17 × 4,212.50
  4. Step 4: Simplify right side
    7,569.75x = 44,004,500.29
  5. Step 5: Solve for x
    x = 44,004,500.29/7,569.75
  6. Step 6: Final answer
    x = 5,813.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.