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Finding the Fourth Proportional to 8,385.36, 12,580.16 and 3,188.40

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Solution

The fourth proportional to 8,385.36, 12,580.16 and 3,188.40 is: 4,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.36 : 12,580.16 = 3,188.40 : x
  2. Step 2: Convert to fraction form
    8,385.36/12,580.16 = 3,188.40/x
  3. Step 3: Cross multiply
    8,385.36x = 12,580.16 × 3,188.40
  4. Step 4: Simplify right side
    8,385.36x = 40,110,582.14
  5. Step 5: Solve for x
    x = 40,110,582.14/8,385.36
  6. Step 6: Final answer
    x = 4,783.41

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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.