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Finding the Fourth Proportional to 7,420.14, 11,122.02 and 6,543.54

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Solution

The fourth proportional to 7,420.14, 11,122.02 and 6,543.54 is: 9,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.14 : 11,122.02 = 6,543.54 : x
  2. Step 2: Convert to fraction form
    7,420.14/11,122.02 = 6,543.54/x
  3. Step 3: Cross multiply
    7,420.14x = 11,122.02 × 6,543.54
  4. Step 4: Simplify right side
    7,420.14x = 72,777,382.75
  5. Step 5: Solve for x
    x = 72,777,382.75/7,420.14
  6. Step 6: Final answer
    x = 9,808.09

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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.