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Finding the Fourth Proportional to 10,511.86, 14,506.00 and 5,796.11

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Solution

The fourth proportional to 10,511.86, 14,506.00 and 5,796.11 is: 7,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.86 : 14,506.00 = 5,796.11 : x
  2. Step 2: Convert to fraction form
    10,511.86/14,506.00 = 5,796.11/x
  3. Step 3: Cross multiply
    10,511.86x = 14,506.00 × 5,796.11
  4. Step 4: Simplify right side
    10,511.86x = 84,078,284.64
  5. Step 5: Solve for x
    x = 84,078,284.64/10,511.86
  6. Step 6: Final answer
    x = 7,998.42

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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.