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Finding the Fourth Proportional to 10,026.30, 13,836.06 and 5,834.46

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Solution

The fourth proportional to 10,026.30, 13,836.06 and 5,834.46 is: 8,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.30 : 13,836.06 = 5,834.46 : x
  2. Step 2: Convert to fraction form
    10,026.30/13,836.06 = 5,834.46/x
  3. Step 3: Cross multiply
    10,026.30x = 13,836.06 × 5,834.46
  4. Step 4: Simplify right side
    10,026.30x = 80,725,938.63
  5. Step 5: Solve for x
    x = 80,725,938.63/10,026.30
  6. Step 6: Final answer
    x = 8,051.42

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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.