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Finding the Fourth Proportional to 11,468, 17,204.89 and 3,260

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Solution

The fourth proportional to 11,468, 17,204.89 and 3,260 is: 4,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468 : 17,204.89 = 3,260 : x
  2. Step 2: Convert to fraction form
    11,468/17,204.89 = 3,260/x
  3. Step 3: Cross multiply
    11,468x = 17,204.89 × 3,260
  4. Step 4: Simplify right side
    11,468x = 56,087,941.40
  5. Step 5: Solve for x
    x = 56,087,941.40/11,468
  6. Step 6: Final answer
    x = 4,890.82

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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.