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Finding the Fourth Proportional to 7,914.81, 10,920.42 and 4,556.86

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Solution

The fourth proportional to 7,914.81, 10,920.42 and 4,556.86 is: 6,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.81 : 10,920.42 = 4,556.86 : x
  2. Step 2: Convert to fraction form
    7,914.81/10,920.42 = 4,556.86/x
  3. Step 3: Cross multiply
    7,914.81x = 10,920.42 × 4,556.86
  4. Step 4: Simplify right side
    7,914.81x = 49,762,797.78
  5. Step 5: Solve for x
    x = 49,762,797.78/7,914.81
  6. Step 6: Final answer
    x = 6,287.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.