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Finding the Fourth Proportional to 11,564.61, 17,345.52 and 3,245.22

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Solution

The fourth proportional to 11,564.61, 17,345.52 and 3,245.22 is: 4,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.61 : 17,345.52 = 3,245.22 : x
  2. Step 2: Convert to fraction form
    11,564.61/17,345.52 = 3,245.22/x
  3. Step 3: Cross multiply
    11,564.61x = 17,345.52 × 3,245.22
  4. Step 4: Simplify right side
    11,564.61x = 56,290,028.41
  5. Step 5: Solve for x
    x = 56,290,028.41/11,564.61
  6. Step 6: Final answer
    x = 4,867.44

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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.