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Finding the Fourth Proportional to 7,967.02, 11,939.16 and 5,870.54

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Solution

The fourth proportional to 7,967.02, 11,939.16 and 5,870.54 is: 8,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.02 : 11,939.16 = 5,870.54 : x
  2. Step 2: Convert to fraction form
    7,967.02/11,939.16 = 5,870.54/x
  3. Step 3: Cross multiply
    7,967.02x = 11,939.16 × 5,870.54
  4. Step 4: Simplify right side
    7,967.02x = 70,089,256.65
  5. Step 5: Solve for x
    x = 70,089,256.65/7,967.02
  6. Step 6: Final answer
    x = 8,797.43

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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.