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Finding the Fourth Proportional to 10,814, 16,200.02 and 7,104.98

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Solution

The fourth proportional to 10,814, 16,200.02 and 7,104.98 is: 10,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814 : 16,200.02 = 7,104.98 : x
  2. Step 2: Convert to fraction form
    10,814/16,200.02 = 7,104.98/x
  3. Step 3: Cross multiply
    10,814x = 16,200.02 × 7,104.98
  4. Step 4: Simplify right side
    10,814x = 115,100,818.10
  5. Step 5: Solve for x
    x = 115,100,818.10/10,814
  6. Step 6: Final answer
    x = 10,643.69

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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.