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Finding the Fourth Proportional to 7,606.46, 10,495.63 and 4,249.30

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Solution

The fourth proportional to 7,606.46, 10,495.63 and 4,249.30 is: 5,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.46 : 10,495.63 = 4,249.30 : x
  2. Step 2: Convert to fraction form
    7,606.46/10,495.63 = 4,249.30/x
  3. Step 3: Cross multiply
    7,606.46x = 10,495.63 × 4,249.30
  4. Step 4: Simplify right side
    7,606.46x = 44,599,073.34
  5. Step 5: Solve for x
    x = 44,599,073.34/7,606.46
  6. Step 6: Final answer
    x = 5,863.32

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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.