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Finding the Fourth Proportional to 7,538.25, 11,306.16 and 5,340.32

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Solution

The fourth proportional to 7,538.25, 11,306.16 and 5,340.32 is: 8,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.25 : 11,306.16 = 5,340.32 : x
  2. Step 2: Convert to fraction form
    7,538.25/11,306.16 = 5,340.32/x
  3. Step 3: Cross multiply
    7,538.25x = 11,306.16 × 5,340.32
  4. Step 4: Simplify right side
    7,538.25x = 60,378,455.84
  5. Step 5: Solve for x
    x = 60,378,455.84/7,538.25
  6. Step 6: Final answer
    x = 8,009.61

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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.