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Finding the Fourth Proportional to 11,384.41, 15,709.53 and 6,348.24

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Solution

The fourth proportional to 11,384.41, 15,709.53 and 6,348.24 is: 8,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.41 : 15,709.53 = 6,348.24 : x
  2. Step 2: Convert to fraction form
    11,384.41/15,709.53 = 6,348.24/x
  3. Step 3: Cross multiply
    11,384.41x = 15,709.53 × 6,348.24
  4. Step 4: Simplify right side
    11,384.41x = 99,727,866.73
  5. Step 5: Solve for x
    x = 99,727,866.73/11,384.41
  6. Step 6: Final answer
    x = 8,760.04

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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.