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Finding the Fourth Proportional to 11,475, 15,834.58 and 6,438.54

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Solution

The fourth proportional to 11,475, 15,834.58 and 6,438.54 is: 8,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475 : 15,834.58 = 6,438.54 : x
  2. Step 2: Convert to fraction form
    11,475/15,834.58 = 6,438.54/x
  3. Step 3: Cross multiply
    11,475x = 15,834.58 × 6,438.54
  4. Step 4: Simplify right side
    11,475x = 101,951,576.71
  5. Step 5: Solve for x
    x = 101,951,576.71/11,475
  6. Step 6: Final answer
    x = 8,884.67

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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.