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Finding the Fourth Proportional to 10,894.67, 16,343.69 and 4,654.70

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Solution

The fourth proportional to 10,894.67, 16,343.69 and 4,654.70 is: 6,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.67 : 16,343.69 = 4,654.70 : x
  2. Step 2: Convert to fraction form
    10,894.67/16,343.69 = 4,654.70/x
  3. Step 3: Cross multiply
    10,894.67x = 16,343.69 × 4,654.70
  4. Step 4: Simplify right side
    10,894.67x = 76,074,973.84
  5. Step 5: Solve for x
    x = 76,074,973.84/10,894.67
  6. Step 6: Final answer
    x = 6,982.77

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Why These Related Problems?

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