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Finding the Fourth Proportional to 11,308.46, 16,973.04 and 5,765.78

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Solution

The fourth proportional to 11,308.46, 16,973.04 and 5,765.78 is: 8,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.46 : 16,973.04 = 5,765.78 : x
  2. Step 2: Convert to fraction form
    11,308.46/16,973.04 = 5,765.78/x
  3. Step 3: Cross multiply
    11,308.46x = 16,973.04 × 5,765.78
  4. Step 4: Simplify right side
    11,308.46x = 97,862,814.57
  5. Step 5: Solve for x
    x = 97,862,814.57/11,308.46
  6. Step 6: Final answer
    x = 8,653.95

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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.