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Finding the Fourth Proportional to 6,874.85, 10,312.27 and 2,492.30

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Solution

The fourth proportional to 6,874.85, 10,312.27 and 2,492.30 is: 3,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.85 : 10,312.27 = 2,492.30 : x
  2. Step 2: Convert to fraction form
    6,874.85/10,312.27 = 2,492.30/x
  3. Step 3: Cross multiply
    6,874.85x = 10,312.27 × 2,492.30
  4. Step 4: Simplify right side
    6,874.85x = 25,701,258.06
  5. Step 5: Solve for x
    x = 25,701,258.06/6,874.85
  6. Step 6: Final answer
    x = 3,738.45

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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.