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Finding the Fourth Proportional to 8,056.50, 11,114.19 and 5,699.94

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Solution

The fourth proportional to 8,056.50, 11,114.19 and 5,699.94 is: 7,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.50 : 11,114.19 = 5,699.94 : x
  2. Step 2: Convert to fraction form
    8,056.50/11,114.19 = 5,699.94/x
  3. Step 3: Cross multiply
    8,056.50x = 11,114.19 × 5,699.94
  4. Step 4: Simplify right side
    8,056.50x = 63,350,216.15
  5. Step 5: Solve for x
    x = 63,350,216.15/8,056.50
  6. Step 6: Final answer
    x = 7,863.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.