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Finding the Fourth Proportional to 7,074.38, 9,762.56 and 4,090.15

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Solution

The fourth proportional to 7,074.38, 9,762.56 and 4,090.15 is: 5,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.38 : 9,762.56 = 4,090.15 : x
  2. Step 2: Convert to fraction form
    7,074.38/9,762.56 = 4,090.15/x
  3. Step 3: Cross multiply
    7,074.38x = 9,762.56 × 4,090.15
  4. Step 4: Simplify right side
    7,074.38x = 39,930,304.22
  5. Step 5: Solve for x
    x = 39,930,304.22/7,074.38
  6. Step 6: Final answer
    x = 5,644.36

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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.