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Finding the Fourth Proportional to 7,844.41, 10,825.23 and 4,307.55

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Solution

The fourth proportional to 7,844.41, 10,825.23 and 4,307.55 is: 5,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.41 : 10,825.23 = 4,307.55 : x
  2. Step 2: Convert to fraction form
    7,844.41/10,825.23 = 4,307.55/x
  3. Step 3: Cross multiply
    7,844.41x = 10,825.23 × 4,307.55
  4. Step 4: Simplify right side
    7,844.41x = 46,630,219.49
  5. Step 5: Solve for x
    x = 46,630,219.49/7,844.41
  6. Step 6: Final answer
    x = 5,944.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.