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Finding the Fourth Proportional to 7,800, 11,700 and 2,328

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Solution

The fourth proportional to 7,800, 11,700 and 2,328 is: 3,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 11,700 = 2,328 : x
  2. Step 2: Convert to fraction form
    7,800/11,700 = 2,328/x
  3. Step 3: Cross multiply
    7,800x = 11,700 × 2,328
  4. Step 4: Simplify right side
    7,800x = 27,237,600
  5. Step 5: Solve for x
    x = 27,237,600/7,800
  6. Step 6: Final answer
    x = 3,492

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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.