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Finding the Fourth Proportional to 8,429.03, 11,634.38 and 4,893.38

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Solution

The fourth proportional to 8,429.03, 11,634.38 and 4,893.38 is: 6,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.03 : 11,634.38 = 4,893.38 : x
  2. Step 2: Convert to fraction form
    8,429.03/11,634.38 = 4,893.38/x
  3. Step 3: Cross multiply
    8,429.03x = 11,634.38 × 4,893.38
  4. Step 4: Simplify right side
    8,429.03x = 56,931,359.77
  5. Step 5: Solve for x
    x = 56,931,359.77/8,429.03
  6. Step 6: Final answer
    x = 6,754.20

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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.