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Finding the Fourth Proportional to 11,809.81, 16,298.51 and 6,505.62

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Solution

The fourth proportional to 11,809.81, 16,298.51 and 6,505.62 is: 8,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.81 : 16,298.51 = 6,505.62 : x
  2. Step 2: Convert to fraction form
    11,809.81/16,298.51 = 6,505.62/x
  3. Step 3: Cross multiply
    11,809.81x = 16,298.51 × 6,505.62
  4. Step 4: Simplify right side
    11,809.81x = 106,031,912.63
  5. Step 5: Solve for x
    x = 106,031,912.63/11,809.81
  6. Step 6: Final answer
    x = 8,978.29

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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.