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Finding the Fourth Proportional to 11,684.74, 16,118.94 and 7,704.40

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Solution

The fourth proportional to 11,684.74, 16,118.94 and 7,704.40 is: 10,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.74 : 16,118.94 = 7,704.40 : x
  2. Step 2: Convert to fraction form
    11,684.74/16,118.94 = 7,704.40/x
  3. Step 3: Cross multiply
    11,684.74x = 16,118.94 × 7,704.40
  4. Step 4: Simplify right side
    11,684.74x = 124,186,761.34
  5. Step 5: Solve for x
    x = 124,186,761.34/11,684.74
  6. Step 6: Final answer
    x = 10,628.12

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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.