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Finding the Fourth Proportional to 10,900.85, 16,353.90 and 3,506.00

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Solution

The fourth proportional to 10,900.85, 16,353.90 and 3,506.00 is: 5,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.85 : 16,353.90 = 3,506.00 : x
  2. Step 2: Convert to fraction form
    10,900.85/16,353.90 = 3,506.00/x
  3. Step 3: Cross multiply
    10,900.85x = 16,353.90 × 3,506.00
  4. Step 4: Simplify right side
    10,900.85x = 57,336,691.63
  5. Step 5: Solve for x
    x = 57,336,691.63/10,900.85
  6. Step 6: Final answer
    x = 5,259.84

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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.