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Finding the Fourth Proportional to 10,185.12, 14,048.64 and 6,649.20

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Solution

The fourth proportional to 10,185.12, 14,048.64 and 6,649.20 is: 9,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.12 : 14,048.64 = 6,649.20 : x
  2. Step 2: Convert to fraction form
    10,185.12/14,048.64 = 6,649.20/x
  3. Step 3: Cross multiply
    10,185.12x = 14,048.64 × 6,649.20
  4. Step 4: Simplify right side
    10,185.12x = 93,412,217.09
  5. Step 5: Solve for x
    x = 93,412,217.09/10,185.12
  6. Step 6: Final answer
    x = 9,171.44

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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.