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Finding the Fourth Proportional to 10,236, 14,123.04 and 6,044.40

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Solution

The fourth proportional to 10,236, 14,123.04 and 6,044.40 is: 8,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236 : 14,123.04 = 6,044.40 : x
  2. Step 2: Convert to fraction form
    10,236/14,123.04 = 6,044.40/x
  3. Step 3: Cross multiply
    10,236x = 14,123.04 × 6,044.40
  4. Step 4: Simplify right side
    10,236x = 85,365,302.98
  5. Step 5: Solve for x
    x = 85,365,302.98/10,236
  6. Step 6: Final answer
    x = 8,339.71

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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.