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Finding the Fourth Proportional to 11,800.17, 16,284.51 and 6,495.12

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Solution

The fourth proportional to 11,800.17, 16,284.51 and 6,495.12 is: 8,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.17 : 16,284.51 = 6,495.12 : x
  2. Step 2: Convert to fraction form
    11,800.17/16,284.51 = 6,495.12/x
  3. Step 3: Cross multiply
    11,800.17x = 16,284.51 × 6,495.12
  4. Step 4: Simplify right side
    11,800.17x = 105,769,846.59
  5. Step 5: Solve for x
    x = 105,769,846.59/11,800.17
  6. Step 6: Final answer
    x = 8,963.42

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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.