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Finding the Fourth Proportional to 7,885.36, 11,827.16 and 2,042.48

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Solution

The fourth proportional to 7,885.36, 11,827.16 and 2,042.48 is: 3,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.36 : 11,827.16 = 2,042.48 : x
  2. Step 2: Convert to fraction form
    7,885.36/11,827.16 = 2,042.48/x
  3. Step 3: Cross multiply
    7,885.36x = 11,827.16 × 2,042.48
  4. Step 4: Simplify right side
    7,885.36x = 24,156,737.76
  5. Step 5: Solve for x
    x = 24,156,737.76/7,885.36
  6. Step 6: Final answer
    x = 3,063.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.