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Finding the Fourth Proportional to 11,478.16, 15,840.01 and 6,940.23

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Solution

The fourth proportional to 11,478.16, 15,840.01 and 6,940.23 is: 9,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.16 : 15,840.01 = 6,940.23 : x
  2. Step 2: Convert to fraction form
    11,478.16/15,840.01 = 6,940.23/x
  3. Step 3: Cross multiply
    11,478.16x = 15,840.01 × 6,940.23
  4. Step 4: Simplify right side
    11,478.16x = 109,933,311.94
  5. Step 5: Solve for x
    x = 109,933,311.94/11,478.16
  6. Step 6: Final answer
    x = 9,577.61

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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.