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Finding the Fourth Proportional to 10,637.68, 15,956.28 and 2,846.49

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Solution

The fourth proportional to 10,637.68, 15,956.28 and 2,846.49 is: 4,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.68 : 15,956.28 = 2,846.49 : x
  2. Step 2: Convert to fraction form
    10,637.68/15,956.28 = 2,846.49/x
  3. Step 3: Cross multiply
    10,637.68x = 15,956.28 × 2,846.49
  4. Step 4: Simplify right side
    10,637.68x = 45,419,311.68
  5. Step 5: Solve for x
    x = 45,419,311.68/10,637.68
  6. Step 6: Final answer
    x = 4,269.67

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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.