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Finding the Fourth Proportional to 11,596.28, 17,397.93 and 4,204.22

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Solution

The fourth proportional to 11,596.28, 17,397.93 and 4,204.22 is: 6,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.28 : 17,397.93 = 4,204.22 : x
  2. Step 2: Convert to fraction form
    11,596.28/17,397.93 = 4,204.22/x
  3. Step 3: Cross multiply
    11,596.28x = 17,397.93 × 4,204.22
  4. Step 4: Simplify right side
    11,596.28x = 73,144,725.26
  5. Step 5: Solve for x
    x = 73,144,725.26/11,596.28
  6. Step 6: Final answer
    x = 6,307.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.