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Finding the Fourth Proportional to 10,644.44, 15,968.30 and 4,802.72

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Solution

The fourth proportional to 10,644.44, 15,968.30 and 4,802.72 is: 7,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.44 : 15,968.30 = 4,802.72 : x
  2. Step 2: Convert to fraction form
    10,644.44/15,968.30 = 4,802.72/x
  3. Step 3: Cross multiply
    10,644.44x = 15,968.30 × 4,802.72
  4. Step 4: Simplify right side
    10,644.44x = 76,691,273.78
  5. Step 5: Solve for x
    x = 76,691,273.78/10,644.44
  6. Step 6: Final answer
    x = 7,204.82

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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.