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Finding the Fourth Proportional to 11,706.36, 17,557.70 and 3,809.16

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Solution

The fourth proportional to 11,706.36, 17,557.70 and 3,809.16 is: 5,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.36 : 17,557.70 = 3,809.16 : x
  2. Step 2: Convert to fraction form
    11,706.36/17,557.70 = 3,809.16/x
  3. Step 3: Cross multiply
    11,706.36x = 17,557.70 × 3,809.16
  4. Step 4: Simplify right side
    11,706.36x = 66,880,088.53
  5. Step 5: Solve for x
    x = 66,880,088.53/11,706.36
  6. Step 6: Final answer
    x = 5,713.14

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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.