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Finding the Fourth Proportional to 7,725.67, 10,651.70 and 6,307.90

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Solution

The fourth proportional to 7,725.67, 10,651.70 and 6,307.90 is: 8,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.67 : 10,651.70 = 6,307.90 : x
  2. Step 2: Convert to fraction form
    7,725.67/10,651.70 = 6,307.90/x
  3. Step 3: Cross multiply
    7,725.67x = 10,651.70 × 6,307.90
  4. Step 4: Simplify right side
    7,725.67x = 67,189,847.57
  5. Step 5: Solve for x
    x = 67,189,847.57/7,725.67
  6. Step 6: Final answer
    x = 8,696.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.