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Finding the Fourth Proportional to 11,807.37, 17,706.89 and 3,485.16

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Solution

The fourth proportional to 11,807.37, 17,706.89 and 3,485.16 is: 5,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.37 : 17,706.89 = 3,485.16 : x
  2. Step 2: Convert to fraction form
    11,807.37/17,706.89 = 3,485.16/x
  3. Step 3: Cross multiply
    11,807.37x = 17,706.89 × 3,485.16
  4. Step 4: Simplify right side
    11,807.37x = 61,711,353.47
  5. Step 5: Solve for x
    x = 61,711,353.47/11,807.37
  6. Step 6: Final answer
    x = 5,226.51

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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.