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Finding the Fourth Proportional to 10,857.84, 16,289.88 and 3,462.90

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Solution

The fourth proportional to 10,857.84, 16,289.88 and 3,462.90 is: 5,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.84 : 16,289.88 = 3,462.90 : x
  2. Step 2: Convert to fraction form
    10,857.84/16,289.88 = 3,462.90/x
  3. Step 3: Cross multiply
    10,857.84x = 16,289.88 × 3,462.90
  4. Step 4: Simplify right side
    10,857.84x = 56,410,225.45
  5. Step 5: Solve for x
    x = 56,410,225.45/10,857.84
  6. Step 6: Final answer
    x = 5,195.35

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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.