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Finding the Fourth Proportional to 8,242.84, 11,375.85 and 4,707.19

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Solution

The fourth proportional to 8,242.84, 11,375.85 and 4,707.19 is: 6,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.84 : 11,375.85 = 4,707.19 : x
  2. Step 2: Convert to fraction form
    8,242.84/11,375.85 = 4,707.19/x
  3. Step 3: Cross multiply
    8,242.84x = 11,375.85 × 4,707.19
  4. Step 4: Simplify right side
    8,242.84x = 53,548,287.36
  5. Step 5: Solve for x
    x = 53,548,287.36/8,242.84
  6. Step 6: Final answer
    x = 6,496.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.