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Finding the Fourth Proportional to 7,262.42, 10,021.10 and 4,118

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Solution

The fourth proportional to 7,262.42, 10,021.10 and 4,118 is: 5,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.42 : 10,021.10 = 4,118 : x
  2. Step 2: Convert to fraction form
    7,262.42/10,021.10 = 4,118/x
  3. Step 3: Cross multiply
    7,262.42x = 10,021.10 × 4,118
  4. Step 4: Simplify right side
    7,262.42x = 41,266,889.80
  5. Step 5: Solve for x
    x = 41,266,889.80/7,262.42
  6. Step 6: Final answer
    x = 5,682.25

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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.