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Finding the Fourth Proportional to 7,847.83, 10,832.85 and 5,196.10

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Solution

The fourth proportional to 7,847.83, 10,832.85 and 5,196.10 is: 7,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.83 : 10,832.85 = 5,196.10 : x
  2. Step 2: Convert to fraction form
    7,847.83/10,832.85 = 5,196.10/x
  3. Step 3: Cross multiply
    7,847.83x = 10,832.85 × 5,196.10
  4. Step 4: Simplify right side
    7,847.83x = 56,288,539.11
  5. Step 5: Solve for x
    x = 56,288,539.11/7,847.83
  6. Step 6: Final answer
    x = 7,172.49

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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.