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Finding the Fourth Proportional to 11,178.53, 15,426.07 and 6,142.74

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Solution

The fourth proportional to 11,178.53, 15,426.07 and 6,142.74 is: 8,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.53 : 15,426.07 = 6,142.74 : x
  2. Step 2: Convert to fraction form
    11,178.53/15,426.07 = 6,142.74/x
  3. Step 3: Cross multiply
    11,178.53x = 15,426.07 × 6,142.74
  4. Step 4: Simplify right side
    11,178.53x = 94,758,229.39
  5. Step 5: Solve for x
    x = 94,758,229.39/11,178.53
  6. Step 6: Final answer
    x = 8,476.81

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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.