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Finding the Fourth Proportional to 7,307.68, 10,084.60 and 4,163.84

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Solution

The fourth proportional to 7,307.68, 10,084.60 and 4,163.84 is: 5,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.68 : 10,084.60 = 4,163.84 : x
  2. Step 2: Convert to fraction form
    7,307.68/10,084.60 = 4,163.84/x
  3. Step 3: Cross multiply
    7,307.68x = 10,084.60 × 4,163.84
  4. Step 4: Simplify right side
    7,307.68x = 41,990,660.86
  5. Step 5: Solve for x
    x = 41,990,660.86/7,307.68
  6. Step 6: Final answer
    x = 5,746.10

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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.