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Finding the Fourth Proportional to 11,642.90, 17,455.56 and 5,803.64

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Solution

The fourth proportional to 11,642.90, 17,455.56 and 5,803.64 is: 8,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.90 : 17,455.56 = 5,803.64 : x
  2. Step 2: Convert to fraction form
    11,642.90/17,455.56 = 5,803.64/x
  3. Step 3: Cross multiply
    11,642.90x = 17,455.56 × 5,803.64
  4. Step 4: Simplify right side
    11,642.90x = 101,305,786.24
  5. Step 5: Solve for x
    x = 101,305,786.24/11,642.90
  6. Step 6: Final answer
    x = 8,701.08

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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.