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Finding the Fourth Proportional to 8,385.96, 12,580.80 and 2,838.84

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Solution

The fourth proportional to 8,385.96, 12,580.80 and 2,838.84 is: 4,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.96 : 12,580.80 = 2,838.84 : x
  2. Step 2: Convert to fraction form
    8,385.96/12,580.80 = 2,838.84/x
  3. Step 3: Cross multiply
    8,385.96x = 12,580.80 × 2,838.84
  4. Step 4: Simplify right side
    8,385.96x = 35,714,878.27
  5. Step 5: Solve for x
    x = 35,714,878.27/8,385.96
  6. Step 6: Final answer
    x = 4,258.89

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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.