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Finding the Fourth Proportional to 7,832.28, 10,808.48 and 4,295.42

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Solution

The fourth proportional to 7,832.28, 10,808.48 and 4,295.42 is: 5,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.28 : 10,808.48 = 4,295.42 : x
  2. Step 2: Convert to fraction form
    7,832.28/10,808.48 = 4,295.42/x
  3. Step 3: Cross multiply
    7,832.28x = 10,808.48 × 4,295.42
  4. Step 4: Simplify right side
    7,832.28x = 46,426,961.16
  5. Step 5: Solve for x
    x = 46,426,961.16/7,832.28
  6. Step 6: Final answer
    x = 5,927.64

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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.