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Finding the Fourth Proportional to 7,725.45, 10,662.45 and 4,369.31

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Solution

The fourth proportional to 7,725.45, 10,662.45 and 4,369.31 is: 6,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.45 : 10,662.45 = 4,369.31 : x
  2. Step 2: Convert to fraction form
    7,725.45/10,662.45 = 4,369.31/x
  3. Step 3: Cross multiply
    7,725.45x = 10,662.45 × 4,369.31
  4. Step 4: Simplify right side
    7,725.45x = 46,587,496.10
  5. Step 5: Solve for x
    x = 46,587,496.10/7,725.45
  6. Step 6: Final answer
    x = 6,030.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.