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Finding the Fourth Proportional to 11,114.96, 15,337 and 8,427.68

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Solution

The fourth proportional to 11,114.96, 15,337 and 8,427.68 is: 11,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.96 : 15,337 = 8,427.68 : x
  2. Step 2: Convert to fraction form
    11,114.96/15,337 = 8,427.68/x
  3. Step 3: Cross multiply
    11,114.96x = 15,337 × 8,427.68
  4. Step 4: Simplify right side
    11,114.96x = 129,255,328.16
  5. Step 5: Solve for x
    x = 129,255,328.16/11,114.96
  6. Step 6: Final answer
    x = 11,628.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.