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Finding the Fourth Proportional to 7,539.93, 11,298.42 and 3,836.61

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Solution

The fourth proportional to 7,539.93, 11,298.42 and 3,836.61 is: 5,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.93 : 11,298.42 = 3,836.61 : x
  2. Step 2: Convert to fraction form
    7,539.93/11,298.42 = 3,836.61/x
  3. Step 3: Cross multiply
    7,539.93x = 11,298.42 × 3,836.61
  4. Step 4: Simplify right side
    7,539.93x = 43,347,631.16
  5. Step 5: Solve for x
    x = 43,347,631.16/7,539.93
  6. Step 6: Final answer
    x = 5,749.08

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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.