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Finding the Fourth Proportional to 10,186.12, 14,050.02 and 6,650.20

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Solution

The fourth proportional to 10,186.12, 14,050.02 and 6,650.20 is: 9,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.12 : 14,050.02 = 6,650.20 : x
  2. Step 2: Convert to fraction form
    10,186.12/14,050.02 = 6,650.20/x
  3. Step 3: Cross multiply
    10,186.12x = 14,050.02 × 6,650.20
  4. Step 4: Simplify right side
    10,186.12x = 93,435,443.00
  5. Step 5: Solve for x
    x = 93,435,443.00/10,186.12
  6. Step 6: Final answer
    x = 9,172.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.