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Finding the Fourth Proportional to 10,847.70, 16,277.22 and 6,411.60

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Solution

The fourth proportional to 10,847.70, 16,277.22 and 6,411.60 is: 9,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.70 : 16,277.22 = 6,411.60 : x
  2. Step 2: Convert to fraction form
    10,847.70/16,277.22 = 6,411.60/x
  3. Step 3: Cross multiply
    10,847.70x = 16,277.22 × 6,411.60
  4. Step 4: Simplify right side
    10,847.70x = 104,363,023.75
  5. Step 5: Solve for x
    x = 104,363,023.75/10,847.70
  6. Step 6: Final answer
    x = 9,620.75

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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.