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Finding the Fourth Proportional to 10,459.79, 15,682.09 and 4,910.28

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Solution

The fourth proportional to 10,459.79, 15,682.09 and 4,910.28 is: 7,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.79 : 15,682.09 = 4,910.28 : x
  2. Step 2: Convert to fraction form
    10,459.79/15,682.09 = 4,910.28/x
  3. Step 3: Cross multiply
    10,459.79x = 15,682.09 × 4,910.28
  4. Step 4: Simplify right side
    10,459.79x = 77,003,452.89
  5. Step 5: Solve for x
    x = 77,003,452.89/10,459.79
  6. Step 6: Final answer
    x = 7,361.85

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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.