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Finding the Fourth Proportional to 10,464.91, 15,693.50 and 3,442.88

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Solution

The fourth proportional to 10,464.91, 15,693.50 and 3,442.88 is: 5,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.91 : 15,693.50 = 3,442.88 : x
  2. Step 2: Convert to fraction form
    10,464.91/15,693.50 = 3,442.88/x
  3. Step 3: Cross multiply
    10,464.91x = 15,693.50 × 3,442.88
  4. Step 4: Simplify right side
    10,464.91x = 54,030,837.28
  5. Step 5: Solve for x
    x = 54,030,837.28/10,464.91
  6. Step 6: Final answer
    x = 5,163.05

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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.