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Finding the Fourth Proportional to 7,585.92, 11,381.04 and 3,203.64

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Solution

The fourth proportional to 7,585.92, 11,381.04 and 3,203.64 is: 4,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.92 : 11,381.04 = 3,203.64 : x
  2. Step 2: Convert to fraction form
    7,585.92/11,381.04 = 3,203.64/x
  3. Step 3: Cross multiply
    7,585.92x = 11,381.04 × 3,203.64
  4. Step 4: Simplify right side
    7,585.92x = 36,460,754.99
  5. Step 5: Solve for x
    x = 36,460,754.99/7,585.92
  6. Step 6: Final answer
    x = 4,806.37

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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.