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Finding the Fourth Proportional to 8,415.48, 11,611.50 and 5,619

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Solution

The fourth proportional to 8,415.48, 11,611.50 and 5,619 is: 7,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.48 : 11,611.50 = 5,619 : x
  2. Step 2: Convert to fraction form
    8,415.48/11,611.50 = 5,619/x
  3. Step 3: Cross multiply
    8,415.48x = 11,611.50 × 5,619
  4. Step 4: Simplify right side
    8,415.48x = 65,245,018.50
  5. Step 5: Solve for x
    x = 65,245,018.50/8,415.48
  6. Step 6: Final answer
    x = 7,752.98

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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.