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Finding the Fourth Proportional to 11,178.55, 15,425.39 and 6,142.71

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Solution

The fourth proportional to 11,178.55, 15,425.39 and 6,142.71 is: 8,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.55 : 15,425.39 = 6,142.71 : x
  2. Step 2: Convert to fraction form
    11,178.55/15,425.39 = 6,142.71/x
  3. Step 3: Cross multiply
    11,178.55x = 15,425.39 × 6,142.71
  4. Step 4: Simplify right side
    11,178.55x = 94,753,712.76
  5. Step 5: Solve for x
    x = 94,753,712.76/11,178.55
  6. Step 6: Final answer
    x = 8,476.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.