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Finding the Fourth Proportional to 11,631.53, 16,053.83 and 6,914.90

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Solution

The fourth proportional to 11,631.53, 16,053.83 and 6,914.90 is: 9,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.53 : 16,053.83 = 6,914.90 : x
  2. Step 2: Convert to fraction form
    11,631.53/16,053.83 = 6,914.90/x
  3. Step 3: Cross multiply
    11,631.53x = 16,053.83 × 6,914.90
  4. Step 4: Simplify right side
    11,631.53x = 111,010,514.22
  5. Step 5: Solve for x
    x = 111,010,514.22/11,631.53
  6. Step 6: Final answer
    x = 9,543.93

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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.