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Finding the Fourth Proportional to 10,835.37, 16,250.63 and 6,454.08

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Solution

The fourth proportional to 10,835.37, 16,250.63 and 6,454.08 is: 9,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.37 : 16,250.63 = 6,454.08 : x
  2. Step 2: Convert to fraction form
    10,835.37/16,250.63 = 6,454.08/x
  3. Step 3: Cross multiply
    10,835.37x = 16,250.63 × 6,454.08
  4. Step 4: Simplify right side
    10,835.37x = 104,882,833.80
  5. Step 5: Solve for x
    x = 104,882,833.80/10,835.37
  6. Step 6: Final answer
    x = 9,679.67

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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.