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Finding the Fourth Proportional to 10,813.50, 16,226.73 and 4,657.50

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Solution

The fourth proportional to 10,813.50, 16,226.73 and 4,657.50 is: 6,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.50 : 16,226.73 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    10,813.50/16,226.73 = 4,657.50/x
  3. Step 3: Cross multiply
    10,813.50x = 16,226.73 × 4,657.50
  4. Step 4: Simplify right side
    10,813.50x = 75,575,994.98
  5. Step 5: Solve for x
    x = 75,575,994.98/10,813.50
  6. Step 6: Final answer
    x = 6,989.04

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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.