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Finding the Fourth Proportional to 11,638.62, 17,457.96 and 4,243.07

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Solution

The fourth proportional to 11,638.62, 17,457.96 and 4,243.07 is: 6,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.62 : 17,457.96 = 4,243.07 : x
  2. Step 2: Convert to fraction form
    11,638.62/17,457.96 = 4,243.07/x
  3. Step 3: Cross multiply
    11,638.62x = 17,457.96 × 4,243.07
  4. Step 4: Simplify right side
    11,638.62x = 74,075,307.69
  5. Step 5: Solve for x
    x = 74,075,307.69/11,638.62
  6. Step 6: Final answer
    x = 6,364.61

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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.