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Finding the Fourth Proportional to 7,840.80, 11,762.01 and 4,147.20

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Solution

The fourth proportional to 7,840.80, 11,762.01 and 4,147.20 is: 6,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.80 : 11,762.01 = 4,147.20 : x
  2. Step 2: Convert to fraction form
    7,840.80/11,762.01 = 4,147.20/x
  3. Step 3: Cross multiply
    7,840.80x = 11,762.01 × 4,147.20
  4. Step 4: Simplify right side
    7,840.80x = 48,779,407.87
  5. Step 5: Solve for x
    x = 48,779,407.87/7,840.80
  6. Step 6: Final answer
    x = 6,221.23

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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.