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Finding the Fourth Proportional to 11,847.16, 17,771.22 and 4,056.76

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Solution

The fourth proportional to 11,847.16, 17,771.22 and 4,056.76 is: 6,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.16 : 17,771.22 = 4,056.76 : x
  2. Step 2: Convert to fraction form
    11,847.16/17,771.22 = 4,056.76/x
  3. Step 3: Cross multiply
    11,847.16x = 17,771.22 × 4,056.76
  4. Step 4: Simplify right side
    11,847.16x = 72,093,574.45
  5. Step 5: Solve for x
    x = 72,093,574.45/11,847.16
  6. Step 6: Final answer
    x = 6,085.30

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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.