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Finding the Fourth Proportional to 7,596, 11,389.80 and 4,090.20

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Solution

The fourth proportional to 7,596, 11,389.80 and 4,090.20 is: 6,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596 : 11,389.80 = 4,090.20 : x
  2. Step 2: Convert to fraction form
    7,596/11,389.80 = 4,090.20/x
  3. Step 3: Cross multiply
    7,596x = 11,389.80 × 4,090.20
  4. Step 4: Simplify right side
    7,596x = 46,586,559.96
  5. Step 5: Solve for x
    x = 46,586,559.96/7,596
  6. Step 6: Final answer
    x = 6,133.04

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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.