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Finding the Fourth Proportional to 10,859.79, 16,289.40 and 3,464.70

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Solution

The fourth proportional to 10,859.79, 16,289.40 and 3,464.70 is: 5,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.79 : 16,289.40 = 3,464.70 : x
  2. Step 2: Convert to fraction form
    10,859.79/16,289.40 = 3,464.70/x
  3. Step 3: Cross multiply
    10,859.79x = 16,289.40 × 3,464.70
  4. Step 4: Simplify right side
    10,859.79x = 56,437,884.18
  5. Step 5: Solve for x
    x = 56,437,884.18/10,859.79
  6. Step 6: Final answer
    x = 5,196.96

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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.