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Finding the Fourth Proportional to 8,242, 11,373.96 and 4,516.08

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Solution

The fourth proportional to 8,242, 11,373.96 and 4,516.08 is: 6,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242 : 11,373.96 = 4,516.08 : x
  2. Step 2: Convert to fraction form
    8,242/11,373.96 = 4,516.08/x
  3. Step 3: Cross multiply
    8,242x = 11,373.96 × 4,516.08
  4. Step 4: Simplify right side
    8,242x = 51,365,713.28
  5. Step 5: Solve for x
    x = 51,365,713.28/8,242
  6. Step 6: Final answer
    x = 6,232.19

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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.