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Finding the Fourth Proportional to 11,653.77, 17,477.45 and 3,218.25

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Solution

The fourth proportional to 11,653.77, 17,477.45 and 3,218.25 is: 4,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.77 : 17,477.45 = 3,218.25 : x
  2. Step 2: Convert to fraction form
    11,653.77/17,477.45 = 3,218.25/x
  3. Step 3: Cross multiply
    11,653.77x = 17,477.45 × 3,218.25
  4. Step 4: Simplify right side
    11,653.77x = 56,246,784.77
  5. Step 5: Solve for x
    x = 56,246,784.77/11,653.77
  6. Step 6: Final answer
    x = 4,826.49

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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.