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Finding the Fourth Proportional to 10,451.42, 15,682.25 and 4,905.21

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Solution

The fourth proportional to 10,451.42, 15,682.25 and 4,905.21 is: 7,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.42 : 15,682.25 = 4,905.21 : x
  2. Step 2: Convert to fraction form
    10,451.42/15,682.25 = 4,905.21/x
  3. Step 3: Cross multiply
    10,451.42x = 15,682.25 × 4,905.21
  4. Step 4: Simplify right side
    10,451.42x = 76,924,729.52
  5. Step 5: Solve for x
    x = 76,924,729.52/10,451.42
  6. Step 6: Final answer
    x = 7,360.22

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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.