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Finding the Fourth Proportional to 8,289.12, 12,438.48 and 7,647.60

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Solution

The fourth proportional to 8,289.12, 12,438.48 and 7,647.60 is: 11,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.12 : 12,438.48 = 7,647.60 : x
  2. Step 2: Convert to fraction form
    8,289.12/12,438.48 = 7,647.60/x
  3. Step 3: Cross multiply
    8,289.12x = 12,438.48 × 7,647.60
  4. Step 4: Simplify right side
    8,289.12x = 95,124,519.65
  5. Step 5: Solve for x
    x = 95,124,519.65/8,289.12
  6. Step 6: Final answer
    x = 11,475.83

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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.