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Finding the Fourth Proportional to 6,096.08, 8,404.76 and 5,000.64

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Solution

The fourth proportional to 6,096.08, 8,404.76 and 5,000.64 is: 6,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.08 : 8,404.76 = 5,000.64 : x
  2. Step 2: Convert to fraction form
    6,096.08/8,404.76 = 5,000.64/x
  3. Step 3: Cross multiply
    6,096.08x = 8,404.76 × 5,000.64
  4. Step 4: Simplify right side
    6,096.08x = 42,029,179.05
  5. Step 5: Solve for x
    x = 42,029,179.05/6,096.08
  6. Step 6: Final answer
    x = 6,894.46

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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.