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Finding the Fourth Proportional to 8,315.96, 12,451.44 and 5,188.46

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Solution

The fourth proportional to 8,315.96, 12,451.44 and 5,188.46 is: 7,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.96 : 12,451.44 = 5,188.46 : x
  2. Step 2: Convert to fraction form
    8,315.96/12,451.44 = 5,188.46/x
  3. Step 3: Cross multiply
    8,315.96x = 12,451.44 × 5,188.46
  4. Step 4: Simplify right side
    8,315.96x = 64,603,798.38
  5. Step 5: Solve for x
    x = 64,603,798.38/8,315.96
  6. Step 6: Final answer
    x = 7,768.65

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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.