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Finding the Fourth Proportional to 7,107.69, 10,663.08 and 2,725.15

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Solution

The fourth proportional to 7,107.69, 10,663.08 and 2,725.15 is: 4,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.69 : 10,663.08 = 2,725.15 : x
  2. Step 2: Convert to fraction form
    7,107.69/10,663.08 = 2,725.15/x
  3. Step 3: Cross multiply
    7,107.69x = 10,663.08 × 2,725.15
  4. Step 4: Simplify right side
    7,107.69x = 29,058,495.57
  5. Step 5: Solve for x
    x = 29,058,495.57/7,107.69
  6. Step 6: Final answer
    x = 4,088.32

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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.