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Finding the Fourth Proportional to 10,492.87, 15,728.78 and 4,874.48

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Solution

The fourth proportional to 10,492.87, 15,728.78 and 4,874.48 is: 7,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.87 : 15,728.78 = 4,874.48 : x
  2. Step 2: Convert to fraction form
    10,492.87/15,728.78 = 4,874.48/x
  3. Step 3: Cross multiply
    10,492.87x = 15,728.78 × 4,874.48
  4. Step 4: Simplify right side
    10,492.87x = 76,669,638.48
  5. Step 5: Solve for x
    x = 76,669,638.48/10,492.87
  6. Step 6: Final answer
    x = 7,306.83

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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.