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Finding the Fourth Proportional to 5,523.30, 8,326.31 and 5,156.64

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Solution

The fourth proportional to 5,523.30, 8,326.31 and 5,156.64 is: 7,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.30 : 8,326.31 = 5,156.64 : x
  2. Step 2: Convert to fraction form
    5,523.30/8,326.31 = 5,156.64/x
  3. Step 3: Cross multiply
    5,523.30x = 8,326.31 × 5,156.64
  4. Step 4: Simplify right side
    5,523.30x = 42,935,757.42
  5. Step 5: Solve for x
    x = 42,935,757.42/5,523.30
  6. Step 6: Final answer
    x = 7,773.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.