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Finding the Fourth Proportional to 7,051.86, 10,580.04 and 2,122.02

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Solution

The fourth proportional to 7,051.86, 10,580.04 and 2,122.02 is: 3,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.86 : 10,580.04 = 2,122.02 : x
  2. Step 2: Convert to fraction form
    7,051.86/10,580.04 = 2,122.02/x
  3. Step 3: Cross multiply
    7,051.86x = 10,580.04 × 2,122.02
  4. Step 4: Simplify right side
    7,051.86x = 22,451,056.48
  5. Step 5: Solve for x
    x = 22,451,056.48/7,051.86
  6. Step 6: Final answer
    x = 3,183.71

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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.