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Finding the Fourth Proportional to 6,827.70, 10,219.95 and 4,883.70

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Solution

The fourth proportional to 6,827.70, 10,219.95 and 4,883.70 is: 7,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.70 : 10,219.95 = 4,883.70 : x
  2. Step 2: Convert to fraction form
    6,827.70/10,219.95 = 4,883.70/x
  3. Step 3: Cross multiply
    6,827.70x = 10,219.95 × 4,883.70
  4. Step 4: Simplify right side
    6,827.70x = 49,911,169.82
  5. Step 5: Solve for x
    x = 49,911,169.82/6,827.70
  6. Step 6: Final answer
    x = 7,310.10

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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.