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Finding the Fourth Proportional to 10,380.34, 14,324.88 and 5,904.82

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Solution

The fourth proportional to 10,380.34, 14,324.88 and 5,904.82 is: 8,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.34 : 14,324.88 = 5,904.82 : x
  2. Step 2: Convert to fraction form
    10,380.34/14,324.88 = 5,904.82/x
  3. Step 3: Cross multiply
    10,380.34x = 14,324.88 × 5,904.82
  4. Step 4: Simplify right side
    10,380.34x = 84,585,837.92
  5. Step 5: Solve for x
    x = 84,585,837.92/10,380.34
  6. Step 6: Final answer
    x = 8,148.66

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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.