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Finding the Fourth Proportional to 11,706.84, 17,563.50 and 6,516.36

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Solution

The fourth proportional to 11,706.84, 17,563.50 and 6,516.36 is: 9,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.84 : 17,563.50 = 6,516.36 : x
  2. Step 2: Convert to fraction form
    11,706.84/17,563.50 = 6,516.36/x
  3. Step 3: Cross multiply
    11,706.84x = 17,563.50 × 6,516.36
  4. Step 4: Simplify right side
    11,706.84x = 114,450,088.86
  5. Step 5: Solve for x
    x = 114,450,088.86/11,706.84
  6. Step 6: Final answer
    x = 9,776.34

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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.