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Finding the Fourth Proportional to 10,606.96, 14,638.02 and 7,256.80

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Solution

The fourth proportional to 10,606.96, 14,638.02 and 7,256.80 is: 10,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.96 : 14,638.02 = 7,256.80 : x
  2. Step 2: Convert to fraction form
    10,606.96/14,638.02 = 7,256.80/x
  3. Step 3: Cross multiply
    10,606.96x = 14,638.02 × 7,256.80
  4. Step 4: Simplify right side
    10,606.96x = 106,225,183.54
  5. Step 5: Solve for x
    x = 106,225,183.54/10,606.96
  6. Step 6: Final answer
    x = 10,014.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.