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Finding the Fourth Proportional to 11,308, 16,962.03 and 3,516.82

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Solution

The fourth proportional to 11,308, 16,962.03 and 3,516.82 is: 5,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308 : 16,962.03 = 3,516.82 : x
  2. Step 2: Convert to fraction form
    11,308/16,962.03 = 3,516.82/x
  3. Step 3: Cross multiply
    11,308x = 16,962.03 × 3,516.82
  4. Step 4: Simplify right side
    11,308x = 59,652,406.34
  5. Step 5: Solve for x
    x = 59,652,406.34/11,308
  6. Step 6: Final answer
    x = 5,275.24

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Why These Related Problems?

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