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Finding the Fourth Proportional to 10,773.50, 16,166.73 and 4,617.50

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Solution

The fourth proportional to 10,773.50, 16,166.73 and 4,617.50 is: 6,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.50 : 16,166.73 = 4,617.50 : x
  2. Step 2: Convert to fraction form
    10,773.50/16,166.73 = 4,617.50/x
  3. Step 3: Cross multiply
    10,773.50x = 16,166.73 × 4,617.50
  4. Step 4: Simplify right side
    10,773.50x = 74,649,875.78
  5. Step 5: Solve for x
    x = 74,649,875.78/10,773.50
  6. Step 6: Final answer
    x = 6,929.03

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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.