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Finding the Fourth Proportional to 10,511.69, 14,506.11 and 5,795.98

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Solution

The fourth proportional to 10,511.69, 14,506.11 and 5,795.98 is: 7,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.69 : 14,506.11 = 5,795.98 : x
  2. Step 2: Convert to fraction form
    10,511.69/14,506.11 = 5,795.98/x
  3. Step 3: Cross multiply
    10,511.69x = 14,506.11 × 5,795.98
  4. Step 4: Simplify right side
    10,511.69x = 84,077,087.17
  5. Step 5: Solve for x
    x = 84,077,087.17/10,511.69
  6. Step 6: Final answer
    x = 7,998.44

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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.