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Finding the Fourth Proportional to 11,594.13, 16,003.84 and 7,814.87

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Solution

The fourth proportional to 11,594.13, 16,003.84 and 7,814.87 is: 10,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.13 : 16,003.84 = 7,814.87 : x
  2. Step 2: Convert to fraction form
    11,594.13/16,003.84 = 7,814.87/x
  3. Step 3: Cross multiply
    11,594.13x = 16,003.84 × 7,814.87
  4. Step 4: Simplify right side
    11,594.13x = 125,067,929.10
  5. Step 5: Solve for x
    x = 125,067,929.10/11,594.13
  6. Step 6: Final answer
    x = 10,787.18

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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.