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Finding the Fourth Proportional to 11,646.48, 17,468.44 and 3,325.96

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Solution

The fourth proportional to 11,646.48, 17,468.44 and 3,325.96 is: 4,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.48 : 17,468.44 = 3,325.96 : x
  2. Step 2: Convert to fraction form
    11,646.48/17,468.44 = 3,325.96/x
  3. Step 3: Cross multiply
    11,646.48x = 17,468.44 × 3,325.96
  4. Step 4: Simplify right side
    11,646.48x = 58,099,332.70
  5. Step 5: Solve for x
    x = 58,099,332.70/11,646.48
  6. Step 6: Final answer
    x = 4,988.57

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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.