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Finding the Fourth Proportional to 10,674.42, 16,015.05 and 4,829.46

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Solution

The fourth proportional to 10,674.42, 16,015.05 and 4,829.46 is: 7,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.42 : 16,015.05 = 4,829.46 : x
  2. Step 2: Convert to fraction form
    10,674.42/16,015.05 = 4,829.46/x
  3. Step 3: Cross multiply
    10,674.42x = 16,015.05 × 4,829.46
  4. Step 4: Simplify right side
    10,674.42x = 77,344,043.37
  5. Step 5: Solve for x
    x = 77,344,043.37/10,674.42
  6. Step 6: Final answer
    x = 7,245.74

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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.