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Finding the Fourth Proportional to 11,074.52, 15,282.50 and 6,038.82

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Solution

The fourth proportional to 11,074.52, 15,282.50 and 6,038.82 is: 8,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.52 : 15,282.50 = 6,038.82 : x
  2. Step 2: Convert to fraction form
    11,074.52/15,282.50 = 6,038.82/x
  3. Step 3: Cross multiply
    11,074.52x = 15,282.50 × 6,038.82
  4. Step 4: Simplify right side
    11,074.52x = 92,288,236.46
  5. Step 5: Solve for x
    x = 92,288,236.46/11,074.52
  6. Step 6: Final answer
    x = 8,333.39

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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.