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Finding the Fourth Proportional to 10,894.39, 16,348.49 and 4,654.43

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Solution

The fourth proportional to 10,894.39, 16,348.49 and 4,654.43 is: 6,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.39 : 16,348.49 = 4,654.43 : x
  2. Step 2: Convert to fraction form
    10,894.39/16,348.49 = 4,654.43/x
  3. Step 3: Cross multiply
    10,894.39x = 16,348.49 × 4,654.43
  4. Step 4: Simplify right side
    10,894.39x = 76,092,968.02
  5. Step 5: Solve for x
    x = 76,092,968.02/10,894.39
  6. Step 6: Final answer
    x = 6,984.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.