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Finding the Fourth Proportional to 8,814.98, 12,164.64 and 5,457.13

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Solution

The fourth proportional to 8,814.98, 12,164.64 and 5,457.13 is: 7,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.98 : 12,164.64 = 5,457.13 : x
  2. Step 2: Convert to fraction form
    8,814.98/12,164.64 = 5,457.13/x
  3. Step 3: Cross multiply
    8,814.98x = 12,164.64 × 5,457.13
  4. Step 4: Simplify right side
    8,814.98x = 66,384,021.88
  5. Step 5: Solve for x
    x = 66,384,021.88/8,814.98
  6. Step 6: Final answer
    x = 7,530.82

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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.