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Finding the Fourth Proportional to 10,846.16, 16,257.29 and 7,096.38

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Solution

The fourth proportional to 10,846.16, 16,257.29 and 7,096.38 is: 10,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.16 : 16,257.29 = 7,096.38 : x
  2. Step 2: Convert to fraction form
    10,846.16/16,257.29 = 7,096.38/x
  3. Step 3: Cross multiply
    10,846.16x = 16,257.29 × 7,096.38
  4. Step 4: Simplify right side
    10,846.16x = 115,367,907.61
  5. Step 5: Solve for x
    x = 115,367,907.61/10,846.16
  6. Step 6: Final answer
    x = 10,636.75

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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.