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Finding the Fourth Proportional to 7,536, 10,399.78 and 4,349.96

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Solution

The fourth proportional to 7,536, 10,399.78 and 4,349.96 is: 6,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 10,399.78 = 4,349.96 : x
  2. Step 2: Convert to fraction form
    7,536/10,399.78 = 4,349.96/x
  3. Step 3: Cross multiply
    7,536x = 10,399.78 × 4,349.96
  4. Step 4: Simplify right side
    7,536x = 45,238,627.01
  5. Step 5: Solve for x
    x = 45,238,627.01/7,536
  6. Step 6: Final answer
    x = 6,003.00

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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.