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Finding the Fourth Proportional to 7,569.92, 10,446.32 and 4,212.64

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Solution

The fourth proportional to 7,569.92, 10,446.32 and 4,212.64 is: 5,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.92 : 10,446.32 = 4,212.64 : x
  2. Step 2: Convert to fraction form
    7,569.92/10,446.32 = 4,212.64/x
  3. Step 3: Cross multiply
    7,569.92x = 10,446.32 × 4,212.64
  4. Step 4: Simplify right side
    7,569.92x = 44,006,585.48
  5. Step 5: Solve for x
    x = 44,006,585.48/7,569.92
  6. Step 6: Final answer
    x = 5,813.35

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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.