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Finding the Fourth Proportional to 7,706.49, 11,553.23 and 3,264.00

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Solution

The fourth proportional to 7,706.49, 11,553.23 and 3,264.00 is: 4,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.49 : 11,553.23 = 3,264.00 : x
  2. Step 2: Convert to fraction form
    7,706.49/11,553.23 = 3,264.00/x
  3. Step 3: Cross multiply
    7,706.49x = 11,553.23 × 3,264.00
  4. Step 4: Simplify right side
    7,706.49x = 37,709,707.56
  5. Step 5: Solve for x
    x = 37,709,707.56/7,706.49
  6. Step 6: Final answer
    x = 4,893.24

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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.