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Finding the Fourth Proportional to 7,844.50, 10,825.41 and 4,307.77

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Solution

The fourth proportional to 7,844.50, 10,825.41 and 4,307.77 is: 5,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.50 : 10,825.41 = 4,307.77 : x
  2. Step 2: Convert to fraction form
    7,844.50/10,825.41 = 4,307.77/x
  3. Step 3: Cross multiply
    7,844.50x = 10,825.41 × 4,307.77
  4. Step 4: Simplify right side
    7,844.50x = 46,633,376.44
  5. Step 5: Solve for x
    x = 46,633,376.44/7,844.50
  6. Step 6: Final answer
    x = 5,944.72

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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.