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Finding the Fourth Proportional to 7,084.12, 9,775.98 and 4,099.72

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Solution

The fourth proportional to 7,084.12, 9,775.98 and 4,099.72 is: 5,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.12 : 9,775.98 = 4,099.72 : x
  2. Step 2: Convert to fraction form
    7,084.12/9,775.98 = 4,099.72/x
  3. Step 3: Cross multiply
    7,084.12x = 9,775.98 × 4,099.72
  4. Step 4: Simplify right side
    7,084.12x = 40,078,780.73
  5. Step 5: Solve for x
    x = 40,078,780.73/7,084.12
  6. Step 6: Final answer
    x = 5,657.55

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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.