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Finding the Fourth Proportional to 8,113.64, 11,197.34 and 4,576.77

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Solution

The fourth proportional to 8,113.64, 11,197.34 and 4,576.77 is: 6,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.64 : 11,197.34 = 4,576.77 : x
  2. Step 2: Convert to fraction form
    8,113.64/11,197.34 = 4,576.77/x
  3. Step 3: Cross multiply
    8,113.64x = 11,197.34 × 4,576.77
  4. Step 4: Simplify right side
    8,113.64x = 51,247,644.07
  5. Step 5: Solve for x
    x = 51,247,644.07/8,113.64
  6. Step 6: Final answer
    x = 6,316.24

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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.