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Finding the Fourth Proportional to 10,647.44, 15,958.20 and 4,802.48

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Solution

The fourth proportional to 10,647.44, 15,958.20 and 4,802.48 is: 7,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.44 : 15,958.20 = 4,802.48 : x
  2. Step 2: Convert to fraction form
    10,647.44/15,958.20 = 4,802.48/x
  3. Step 3: Cross multiply
    10,647.44x = 15,958.20 × 4,802.48
  4. Step 4: Simplify right side
    10,647.44x = 76,638,936.34
  5. Step 5: Solve for x
    x = 76,638,936.34/10,647.44
  6. Step 6: Final answer
    x = 7,197.87

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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.