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Finding the Fourth Proportional to 7,509.46, 11,264.04 and 2,244.48

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Solution

The fourth proportional to 7,509.46, 11,264.04 and 2,244.48 is: 3,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.46 : 11,264.04 = 2,244.48 : x
  2. Step 2: Convert to fraction form
    7,509.46/11,264.04 = 2,244.48/x
  3. Step 3: Cross multiply
    7,509.46x = 11,264.04 × 2,244.48
  4. Step 4: Simplify right side
    7,509.46x = 25,281,912.50
  5. Step 5: Solve for x
    x = 25,281,912.50/7,509.46
  6. Step 6: Final answer
    x = 3,366.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.