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Finding the Fourth Proportional to 10,895.16, 16,339.07 and 3,497.81

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Solution

The fourth proportional to 10,895.16, 16,339.07 and 3,497.81 is: 5,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.16 : 16,339.07 = 3,497.81 : x
  2. Step 2: Convert to fraction form
    10,895.16/16,339.07 = 3,497.81/x
  3. Step 3: Cross multiply
    10,895.16x = 16,339.07 × 3,497.81
  4. Step 4: Simplify right side
    10,895.16x = 57,150,962.44
  5. Step 5: Solve for x
    x = 57,150,962.44/10,895.16
  6. Step 6: Final answer
    x = 5,245.54

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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.