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Finding the Fourth Proportional to 6,847.80, 10,271.70 and 4,385.40

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Solution

The fourth proportional to 6,847.80, 10,271.70 and 4,385.40 is: 6,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.80 : 10,271.70 = 4,385.40 : x
  2. Step 2: Convert to fraction form
    6,847.80/10,271.70 = 4,385.40/x
  3. Step 3: Cross multiply
    6,847.80x = 10,271.70 × 4,385.40
  4. Step 4: Simplify right side
    6,847.80x = 45,045,513.18
  5. Step 5: Solve for x
    x = 45,045,513.18/6,847.80
  6. Step 6: Final answer
    x = 6,578.10

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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.