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Finding the Fourth Proportional to 11,942.40, 16,478.68 and 6,905.64

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Solution

The fourth proportional to 11,942.40, 16,478.68 and 6,905.64 is: 9,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.40 : 16,478.68 = 6,905.64 : x
  2. Step 2: Convert to fraction form
    11,942.40/16,478.68 = 6,905.64/x
  3. Step 3: Cross multiply
    11,942.40x = 16,478.68 × 6,905.64
  4. Step 4: Simplify right side
    11,942.40x = 113,795,831.76
  5. Step 5: Solve for x
    x = 113,795,831.76/11,942.40
  6. Step 6: Final answer
    x = 9,528.72

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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.