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Finding the Fourth Proportional to 6,876.66, 10,315.02 and 2,492.40

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Solution

The fourth proportional to 6,876.66, 10,315.02 and 2,492.40 is: 3,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.66 : 10,315.02 = 2,492.40 : x
  2. Step 2: Convert to fraction form
    6,876.66/10,315.02 = 2,492.40/x
  3. Step 3: Cross multiply
    6,876.66x = 10,315.02 × 2,492.40
  4. Step 4: Simplify right side
    6,876.66x = 25,709,155.85
  5. Step 5: Solve for x
    x = 25,709,155.85/6,876.66
  6. Step 6: Final answer
    x = 3,738.61

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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.