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Finding the Fourth Proportional to 7,405.83, 11,095.79 and 6,234.57

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Solution

The fourth proportional to 7,405.83, 11,095.79 and 6,234.57 is: 9,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.83 : 11,095.79 = 6,234.57 : x
  2. Step 2: Convert to fraction form
    7,405.83/11,095.79 = 6,234.57/x
  3. Step 3: Cross multiply
    7,405.83x = 11,095.79 × 6,234.57
  4. Step 4: Simplify right side
    7,405.83x = 69,177,448.29
  5. Step 5: Solve for x
    x = 69,177,448.29/7,405.83
  6. Step 6: Final answer
    x = 9,340.94

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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.