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Finding the Fourth Proportional to 10,196.67, 15,282.05 and 4,653.03

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Solution

The fourth proportional to 10,196.67, 15,282.05 and 4,653.03 is: 6,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.67 : 15,282.05 = 4,653.03 : x
  2. Step 2: Convert to fraction form
    10,196.67/15,282.05 = 4,653.03/x
  3. Step 3: Cross multiply
    10,196.67x = 15,282.05 × 4,653.03
  4. Step 4: Simplify right side
    10,196.67x = 71,107,813.85
  5. Step 5: Solve for x
    x = 71,107,813.85/10,196.67
  6. Step 6: Final answer
    x = 6,973.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.