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Finding the Fourth Proportional to 11,384.26, 15,709.47 and 6,348.26

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Solution

The fourth proportional to 11,384.26, 15,709.47 and 6,348.26 is: 8,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.26 : 15,709.47 = 6,348.26 : x
  2. Step 2: Convert to fraction form
    11,384.26/15,709.47 = 6,348.26/x
  3. Step 3: Cross multiply
    11,384.26x = 15,709.47 × 6,348.26
  4. Step 4: Simplify right side
    11,384.26x = 99,727,800.02
  5. Step 5: Solve for x
    x = 99,727,800.02/11,384.26
  6. Step 6: Final answer
    x = 8,760.15

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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.