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Finding the Fourth Proportional to 7,844.45, 10,825.62 and 4,307.93

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Solution

The fourth proportional to 7,844.45, 10,825.62 and 4,307.93 is: 5,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.45 : 10,825.62 = 4,307.93 : x
  2. Step 2: Convert to fraction form
    7,844.45/10,825.62 = 4,307.93/x
  3. Step 3: Cross multiply
    7,844.45x = 10,825.62 × 4,307.93
  4. Step 4: Simplify right side
    7,844.45x = 46,635,959.04
  5. Step 5: Solve for x
    x = 46,635,959.04/7,844.45
  6. Step 6: Final answer
    x = 5,945.09

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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.