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Finding the Fourth Proportional to 7,435.70, 10,261.28 and 4,078.54

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Solution

The fourth proportional to 7,435.70, 10,261.28 and 4,078.54 is: 5,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.70 : 10,261.28 = 4,078.54 : x
  2. Step 2: Convert to fraction form
    7,435.70/10,261.28 = 4,078.54/x
  3. Step 3: Cross multiply
    7,435.70x = 10,261.28 × 4,078.54
  4. Step 4: Simplify right side
    7,435.70x = 41,851,040.93
  5. Step 5: Solve for x
    x = 41,851,040.93/7,435.70
  6. Step 6: Final answer
    x = 5,628.39

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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.