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Finding the Fourth Proportional to 10,959.12, 16,436.25 and 6,577.83

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Solution

The fourth proportional to 10,959.12, 16,436.25 and 6,577.83 is: 9,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.12 : 16,436.25 = 6,577.83 : x
  2. Step 2: Convert to fraction form
    10,959.12/16,436.25 = 6,577.83/x
  3. Step 3: Cross multiply
    10,959.12x = 16,436.25 × 6,577.83
  4. Step 4: Simplify right side
    10,959.12x = 108,114,858.34
  5. Step 5: Solve for x
    x = 108,114,858.34/10,959.12
  6. Step 6: Final answer
    x = 9,865.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.