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Finding the Fourth Proportional to 10,511.73, 14,506.49 and 5,796.32

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Solution

The fourth proportional to 10,511.73, 14,506.49 and 5,796.32 is: 7,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.73 : 14,506.49 = 5,796.32 : x
  2. Step 2: Convert to fraction form
    10,511.73/14,506.49 = 5,796.32/x
  3. Step 3: Cross multiply
    10,511.73x = 14,506.49 × 5,796.32
  4. Step 4: Simplify right side
    10,511.73x = 84,084,200.08
  5. Step 5: Solve for x
    x = 84,084,200.08/10,511.73
  6. Step 6: Final answer
    x = 7,999.08

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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.