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Finding the Fourth Proportional to 7,409.58, 10,235.21 and 5,928.09

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Solution

The fourth proportional to 7,409.58, 10,235.21 and 5,928.09 is: 8,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.58 : 10,235.21 = 5,928.09 : x
  2. Step 2: Convert to fraction form
    7,409.58/10,235.21 = 5,928.09/x
  3. Step 3: Cross multiply
    7,409.58x = 10,235.21 × 5,928.09
  4. Step 4: Simplify right side
    7,409.58x = 60,675,216.41
  5. Step 5: Solve for x
    x = 60,675,216.41/7,409.58
  6. Step 6: Final answer
    x = 8,188.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.