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Finding the Fourth Proportional to 11,689.89, 17,538.93 and 7,302.21

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Solution

The fourth proportional to 11,689.89, 17,538.93 and 7,302.21 is: 10,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.89 : 17,538.93 = 7,302.21 : x
  2. Step 2: Convert to fraction form
    11,689.89/17,538.93 = 7,302.21/x
  3. Step 3: Cross multiply
    11,689.89x = 17,538.93 × 7,302.21
  4. Step 4: Simplify right side
    11,689.89x = 128,072,950.04
  5. Step 5: Solve for x
    x = 128,072,950.04/11,689.89
  6. Step 6: Final answer
    x = 10,955.87

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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.