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Finding the Fourth Proportional to 7,533.82, 11,268.44 and 5,430.20

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Solution

The fourth proportional to 7,533.82, 11,268.44 and 5,430.20 is: 8,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.82 : 11,268.44 = 5,430.20 : x
  2. Step 2: Convert to fraction form
    7,533.82/11,268.44 = 5,430.20/x
  3. Step 3: Cross multiply
    7,533.82x = 11,268.44 × 5,430.20
  4. Step 4: Simplify right side
    7,533.82x = 61,189,882.89
  5. Step 5: Solve for x
    x = 61,189,882.89/7,533.82
  6. Step 6: Final answer
    x = 8,122.03

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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.