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Finding the Fourth Proportional to 6,855.80, 10,283.60 and 1,661.72

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Solution

The fourth proportional to 6,855.80, 10,283.60 and 1,661.72 is: 2,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.80 : 10,283.60 = 1,661.72 : x
  2. Step 2: Convert to fraction form
    6,855.80/10,283.60 = 1,661.72/x
  3. Step 3: Cross multiply
    6,855.80x = 10,283.60 × 1,661.72
  4. Step 4: Simplify right side
    6,855.80x = 17,088,416.53
  5. Step 5: Solve for x
    x = 17,088,416.53/6,855.80
  6. Step 6: Final answer
    x = 2,492.55

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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.