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Finding the Fourth Proportional to 15,864, 23,796 and 4,920

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Solution

The fourth proportional to 15,864, 23,796 and 4,920 is: 7,380

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864 : 23,796 = 4,920 : x
  2. Step 2: Convert to fraction form
    15,864/23,796 = 4,920/x
  3. Step 3: Cross multiply
    15,864x = 23,796 × 4,920
  4. Step 4: Simplify right side
    15,864x = 117,076,320
  5. Step 5: Solve for x
    x = 117,076,320/15,864
  6. Step 6: Final answer
    x = 7,380

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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.