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Finding the Fourth Proportional to 10,452.17, 15,682.86 and 4,905.05

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Solution

The fourth proportional to 10,452.17, 15,682.86 and 4,905.05 is: 7,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.17 : 15,682.86 = 4,905.05 : x
  2. Step 2: Convert to fraction form
    10,452.17/15,682.86 = 4,905.05/x
  3. Step 3: Cross multiply
    10,452.17x = 15,682.86 × 4,905.05
  4. Step 4: Simplify right side
    10,452.17x = 76,925,134.03
  5. Step 5: Solve for x
    x = 76,925,134.03/10,452.17
  6. Step 6: Final answer
    x = 7,359.73

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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.