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Finding the Fourth Proportional to 8,002.84, 11,042.82 and 4,858.48

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Solution

The fourth proportional to 8,002.84, 11,042.82 and 4,858.48 is: 6,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.84 : 11,042.82 = 4,858.48 : x
  2. Step 2: Convert to fraction form
    8,002.84/11,042.82 = 4,858.48/x
  3. Step 3: Cross multiply
    8,002.84x = 11,042.82 × 4,858.48
  4. Step 4: Simplify right side
    8,002.84x = 53,651,320.11
  5. Step 5: Solve for x
    x = 53,651,320.11/8,002.84
  6. Step 6: Final answer
    x = 6,704.04

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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.