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Finding the Fourth Proportional to 7,842.01, 11,759.24 and 4,556.04

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Solution

The fourth proportional to 7,842.01, 11,759.24 and 4,556.04 is: 6,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.01 : 11,759.24 = 4,556.04 : x
  2. Step 2: Convert to fraction form
    7,842.01/11,759.24 = 4,556.04/x
  3. Step 3: Cross multiply
    7,842.01x = 11,759.24 × 4,556.04
  4. Step 4: Simplify right side
    7,842.01x = 53,575,567.81
  5. Step 5: Solve for x
    x = 53,575,567.81/7,842.01
  6. Step 6: Final answer
    x = 6,831.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.