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Finding the Fourth Proportional to 11,607.21, 17,410.86 and 3,816

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Solution

The fourth proportional to 11,607.21, 17,410.86 and 3,816 is: 5,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.21 : 17,410.86 = 3,816 : x
  2. Step 2: Convert to fraction form
    11,607.21/17,410.86 = 3,816/x
  3. Step 3: Cross multiply
    11,607.21x = 17,410.86 × 3,816
  4. Step 4: Simplify right side
    11,607.21x = 66,439,841.76
  5. Step 5: Solve for x
    x = 66,439,841.76/11,607.21
  6. Step 6: Final answer
    x = 5,724.01

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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.