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Finding the Fourth Proportional to 11,962.75, 16,508.32 and 6,657.46

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Solution

The fourth proportional to 11,962.75, 16,508.32 and 6,657.46 is: 9,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.75 : 16,508.32 = 6,657.46 : x
  2. Step 2: Convert to fraction form
    11,962.75/16,508.32 = 6,657.46/x
  3. Step 3: Cross multiply
    11,962.75x = 16,508.32 × 6,657.46
  4. Step 4: Simplify right side
    11,962.75x = 109,903,480.07
  5. Step 5: Solve for x
    x = 109,903,480.07/11,962.75
  6. Step 6: Final answer
    x = 9,187.14

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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.