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Finding the Fourth Proportional to 11,659.08, 16,089.21 and 6,354

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Solution

The fourth proportional to 11,659.08, 16,089.21 and 6,354 is: 8,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.08 : 16,089.21 = 6,354 : x
  2. Step 2: Convert to fraction form
    11,659.08/16,089.21 = 6,354/x
  3. Step 3: Cross multiply
    11,659.08x = 16,089.21 × 6,354
  4. Step 4: Simplify right side
    11,659.08x = 102,230,840.34
  5. Step 5: Solve for x
    x = 102,230,840.34/11,659.08
  6. Step 6: Final answer
    x = 8,768.35

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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.