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Finding the Fourth Proportional to 7,443.48, 10,271.58 and 4,086

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Solution

The fourth proportional to 7,443.48, 10,271.58 and 4,086 is: 5,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.48 : 10,271.58 = 4,086 : x
  2. Step 2: Convert to fraction form
    7,443.48/10,271.58 = 4,086/x
  3. Step 3: Cross multiply
    7,443.48x = 10,271.58 × 4,086
  4. Step 4: Simplify right side
    7,443.48x = 41,969,675.88
  5. Step 5: Solve for x
    x = 41,969,675.88/7,443.48
  6. Step 6: Final answer
    x = 5,638.45

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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.