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Finding the Fourth Proportional to 8,433.64, 11,634.57 and 4,894.80

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Solution

The fourth proportional to 8,433.64, 11,634.57 and 4,894.80 is: 6,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.64 : 11,634.57 = 4,894.80 : x
  2. Step 2: Convert to fraction form
    8,433.64/11,634.57 = 4,894.80/x
  3. Step 3: Cross multiply
    8,433.64x = 11,634.57 × 4,894.80
  4. Step 4: Simplify right side
    8,433.64x = 56,948,968.42
  5. Step 5: Solve for x
    x = 56,948,968.42/8,433.64
  6. Step 6: Final answer
    x = 6,752.59

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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.