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Finding the Fourth Proportional to 10,181.62, 14,051.53 and 5,932.46

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Solution

The fourth proportional to 10,181.62, 14,051.53 and 5,932.46 is: 8,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.62 : 14,051.53 = 5,932.46 : x
  2. Step 2: Convert to fraction form
    10,181.62/14,051.53 = 5,932.46/x
  3. Step 3: Cross multiply
    10,181.62x = 14,051.53 × 5,932.46
  4. Step 4: Simplify right side
    10,181.62x = 83,360,139.66
  5. Step 5: Solve for x
    x = 83,360,139.66/10,181.62
  6. Step 6: Final answer
    x = 8,187.32

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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.