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Finding the Fourth Proportional to 8,412.96, 11,611.98 and 4,878.30

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Solution

The fourth proportional to 8,412.96, 11,611.98 and 4,878.30 is: 6,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.96 : 11,611.98 = 4,878.30 : x
  2. Step 2: Convert to fraction form
    8,412.96/11,611.98 = 4,878.30/x
  3. Step 3: Cross multiply
    8,412.96x = 11,611.98 × 4,878.30
  4. Step 4: Simplify right side
    8,412.96x = 56,646,722.03
  5. Step 5: Solve for x
    x = 56,646,722.03/8,412.96
  6. Step 6: Final answer
    x = 6,733.27

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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.