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Finding the Fourth Proportional to 11,793.66, 16,271.18 and 7,315.80

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Solution

The fourth proportional to 11,793.66, 16,271.18 and 7,315.80 is: 10,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.66 : 16,271.18 = 7,315.80 : x
  2. Step 2: Convert to fraction form
    11,793.66/16,271.18 = 7,315.80/x
  3. Step 3: Cross multiply
    11,793.66x = 16,271.18 × 7,315.80
  4. Step 4: Simplify right side
    11,793.66x = 119,036,698.64
  5. Step 5: Solve for x
    x = 119,036,698.64/11,793.66
  6. Step 6: Final answer
    x = 10,093.28

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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.