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Finding the Fourth Proportional to 8,356.50, 12,520.85 and 5,886.10

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Solution

The fourth proportional to 8,356.50, 12,520.85 and 5,886.10 is: 8,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.50 : 12,520.85 = 5,886.10 : x
  2. Step 2: Convert to fraction form
    8,356.50/12,520.85 = 5,886.10/x
  3. Step 3: Cross multiply
    8,356.50x = 12,520.85 × 5,886.10
  4. Step 4: Simplify right side
    8,356.50x = 73,698,975.19
  5. Step 5: Solve for x
    x = 73,698,975.19/8,356.50
  6. Step 6: Final answer
    x = 8,819.36

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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.