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Finding the Fourth Proportional to 7,602.44, 11,407.43 and 4,268.61

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Solution

The fourth proportional to 7,602.44, 11,407.43 and 4,268.61 is: 6,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.44 : 11,407.43 = 4,268.61 : x
  2. Step 2: Convert to fraction form
    7,602.44/11,407.43 = 4,268.61/x
  3. Step 3: Cross multiply
    7,602.44x = 11,407.43 × 4,268.61
  4. Step 4: Simplify right side
    7,602.44x = 48,693,880.44
  5. Step 5: Solve for x
    x = 48,693,880.44/7,602.44
  6. Step 6: Final answer
    x = 6,405.04

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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.