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Finding the Fourth Proportional to 7,771.37, 10,725.26 and 4,746.32

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Solution

The fourth proportional to 7,771.37, 10,725.26 and 4,746.32 is: 6,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.37 : 10,725.26 = 4,746.32 : x
  2. Step 2: Convert to fraction form
    7,771.37/10,725.26 = 4,746.32/x
  3. Step 3: Cross multiply
    7,771.37x = 10,725.26 × 4,746.32
  4. Step 4: Simplify right side
    7,771.37x = 50,905,516.04
  5. Step 5: Solve for x
    x = 50,905,516.04/7,771.37
  6. Step 6: Final answer
    x = 6,550.39

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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.