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Finding the Fourth Proportional to 8,242.94, 11,375.16 and 4,707.02

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Solution

The fourth proportional to 8,242.94, 11,375.16 and 4,707.02 is: 6,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.94 : 11,375.16 = 4,707.02 : x
  2. Step 2: Convert to fraction form
    8,242.94/11,375.16 = 4,707.02/x
  3. Step 3: Cross multiply
    8,242.94x = 11,375.16 × 4,707.02
  4. Step 4: Simplify right side
    8,242.94x = 53,543,105.62
  5. Step 5: Solve for x
    x = 53,543,105.62/8,242.94
  6. Step 6: Final answer
    x = 6,495.63

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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.