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Finding the Fourth Proportional to 7,844.54, 10,825.40 and 4,307.67

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Solution

The fourth proportional to 7,844.54, 10,825.40 and 4,307.67 is: 5,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.54 : 10,825.40 = 4,307.67 : x
  2. Step 2: Convert to fraction form
    7,844.54/10,825.40 = 4,307.67/x
  3. Step 3: Cross multiply
    7,844.54x = 10,825.40 × 4,307.67
  4. Step 4: Simplify right side
    7,844.54x = 46,632,261.59
  5. Step 5: Solve for x
    x = 46,632,261.59/7,844.54
  6. Step 6: Final answer
    x = 5,944.55

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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.