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Finding the Fourth Proportional to 10,756.49, 16,134.69 and 2,859.80

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Solution

The fourth proportional to 10,756.49, 16,134.69 and 2,859.80 is: 4,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.49 : 16,134.69 = 2,859.80 : x
  2. Step 2: Convert to fraction form
    10,756.49/16,134.69 = 2,859.80/x
  3. Step 3: Cross multiply
    10,756.49x = 16,134.69 × 2,859.80
  4. Step 4: Simplify right side
    10,756.49x = 46,141,905.79
  5. Step 5: Solve for x
    x = 46,141,905.79/10,756.49
  6. Step 6: Final answer
    x = 4,289.68

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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.