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Finding the Fourth Proportional to 11,975.34, 16,525.97 and 6,670.50

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Solution

The fourth proportional to 11,975.34, 16,525.97 and 6,670.50 is: 9,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.34 : 16,525.97 = 6,670.50 : x
  2. Step 2: Convert to fraction form
    11,975.34/16,525.97 = 6,670.50/x
  3. Step 3: Cross multiply
    11,975.34x = 16,525.97 × 6,670.50
  4. Step 4: Simplify right side
    11,975.34x = 110,236,543.05
  5. Step 5: Solve for x
    x = 110,236,543.05/11,975.34
  6. Step 6: Final answer
    x = 9,205.29

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