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Finding the Fourth Proportional to 11,853.40, 16,357.04 and 7,377.01

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Solution

The fourth proportional to 11,853.40, 16,357.04 and 7,377.01 is: 10,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.40 : 16,357.04 = 7,377.01 : x
  2. Step 2: Convert to fraction form
    11,853.40/16,357.04 = 7,377.01/x
  3. Step 3: Cross multiply
    11,853.40x = 16,357.04 × 7,377.01
  4. Step 4: Simplify right side
    11,853.40x = 120,666,010.77
  5. Step 5: Solve for x
    x = 120,666,010.77/11,853.40
  6. Step 6: Final answer
    x = 10,179.86

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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.