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Finding the Fourth Proportional to 10,893.67, 16,342.19 and 4,653.70

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Solution

The fourth proportional to 10,893.67, 16,342.19 and 4,653.70 is: 6,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.67 : 16,342.19 = 4,653.70 : x
  2. Step 2: Convert to fraction form
    10,893.67/16,342.19 = 4,653.70/x
  3. Step 3: Cross multiply
    10,893.67x = 16,342.19 × 4,653.70
  4. Step 4: Simplify right side
    10,893.67x = 76,051,649.60
  5. Step 5: Solve for x
    x = 76,051,649.60/10,893.67
  6. Step 6: Final answer
    x = 6,981.27

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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.