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Finding the Fourth Proportional to 10,813.56, 14,926.44 and 6,338.76

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Solution

The fourth proportional to 10,813.56, 14,926.44 and 6,338.76 is: 8,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.56 : 14,926.44 = 6,338.76 : x
  2. Step 2: Convert to fraction form
    10,813.56/14,926.44 = 6,338.76/x
  3. Step 3: Cross multiply
    10,813.56x = 14,926.44 × 6,338.76
  4. Step 4: Simplify right side
    10,813.56x = 94,615,120.81
  5. Step 5: Solve for x
    x = 94,615,120.81/10,813.56
  6. Step 6: Final answer
    x = 8,749.67

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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.