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Finding the Fourth Proportional to 10,197.44, 15,300.84 and 6,045.68

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Solution

The fourth proportional to 10,197.44, 15,300.84 and 6,045.68 is: 9,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.44 : 15,300.84 = 6,045.68 : x
  2. Step 2: Convert to fraction form
    10,197.44/15,300.84 = 6,045.68/x
  3. Step 3: Cross multiply
    10,197.44x = 15,300.84 × 6,045.68
  4. Step 4: Simplify right side
    10,197.44x = 92,503,982.37
  5. Step 5: Solve for x
    x = 92,503,982.37/10,197.44
  6. Step 6: Final answer
    x = 9,071.29

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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.