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Finding the Fourth Proportional to 7,556.55, 10,431.75 and 5,796.01

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Solution

The fourth proportional to 7,556.55, 10,431.75 and 5,796.01 is: 8,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.55 : 10,431.75 = 5,796.01 : x
  2. Step 2: Convert to fraction form
    7,556.55/10,431.75 = 5,796.01/x
  3. Step 3: Cross multiply
    7,556.55x = 10,431.75 × 5,796.01
  4. Step 4: Simplify right side
    7,556.55x = 60,462,527.32
  5. Step 5: Solve for x
    x = 60,462,527.32/7,556.55
  6. Step 6: Final answer
    x = 8,001.34

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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.