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Finding the Fourth Proportional to 10,714.99, 16,051.56 and 7,382.65

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Solution

The fourth proportional to 10,714.99, 16,051.56 and 7,382.65 is: 11,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.99 : 16,051.56 = 7,382.65 : x
  2. Step 2: Convert to fraction form
    10,714.99/16,051.56 = 7,382.65/x
  3. Step 3: Cross multiply
    10,714.99x = 16,051.56 × 7,382.65
  4. Step 4: Simplify right side
    10,714.99x = 118,503,049.43
  5. Step 5: Solve for x
    x = 118,503,049.43/10,714.99
  6. Step 6: Final answer
    x = 11,059.56

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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.