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Finding the Fourth Proportional to 7,830.44, 10,808.05 and 4,844.54

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Solution

The fourth proportional to 7,830.44, 10,808.05 and 4,844.54 is: 6,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.44 : 10,808.05 = 4,844.54 : x
  2. Step 2: Convert to fraction form
    7,830.44/10,808.05 = 4,844.54/x
  3. Step 3: Cross multiply
    7,830.44x = 10,808.05 × 4,844.54
  4. Step 4: Simplify right side
    7,830.44x = 52,360,030.55
  5. Step 5: Solve for x
    x = 52,360,030.55/7,830.44
  6. Step 6: Final answer
    x = 6,686.73

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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.