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Finding the Fourth Proportional to 11,378.41, 15,703.47 and 6,343.09

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Solution

The fourth proportional to 11,378.41, 15,703.47 and 6,343.09 is: 8,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.41 : 15,703.47 = 6,343.09 : x
  2. Step 2: Convert to fraction form
    11,378.41/15,703.47 = 6,343.09/x
  3. Step 3: Cross multiply
    11,378.41x = 15,703.47 × 6,343.09
  4. Step 4: Simplify right side
    11,378.41x = 99,608,523.52
  5. Step 5: Solve for x
    x = 99,608,523.52/11,378.41
  6. Step 6: Final answer
    x = 8,754.17

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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.