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Finding the Fourth Proportional to 11,919.76, 16,437.90 and 7,138.92

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Solution

The fourth proportional to 11,919.76, 16,437.90 and 7,138.92 is: 9,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.76 : 16,437.90 = 7,138.92 : x
  2. Step 2: Convert to fraction form
    11,919.76/16,437.90 = 7,138.92/x
  3. Step 3: Cross multiply
    11,919.76x = 16,437.90 × 7,138.92
  4. Step 4: Simplify right side
    11,919.76x = 117,348,853.07
  5. Step 5: Solve for x
    x = 117,348,853.07/11,919.76
  6. Step 6: Final answer
    x = 9,844.90

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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.