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Finding the Fourth Proportional to 10,644.96, 15,967.56 and 4,071.48

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Solution

The fourth proportional to 10,644.96, 15,967.56 and 4,071.48 is: 6,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.96 : 15,967.56 = 4,071.48 : x
  2. Step 2: Convert to fraction form
    10,644.96/15,967.56 = 4,071.48/x
  3. Step 3: Cross multiply
    10,644.96x = 15,967.56 × 4,071.48
  4. Step 4: Simplify right side
    10,644.96x = 65,011,601.19
  5. Step 5: Solve for x
    x = 65,011,601.19/10,644.96
  6. Step 6: Final answer
    x = 6,107.27

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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.