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Finding the Fourth Proportional to 11,330.70, 15,636.35 and 6,295.38

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Solution

The fourth proportional to 11,330.70, 15,636.35 and 6,295.38 is: 8,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.70 : 15,636.35 = 6,295.38 : x
  2. Step 2: Convert to fraction form
    11,330.70/15,636.35 = 6,295.38/x
  3. Step 3: Cross multiply
    11,330.70x = 15,636.35 × 6,295.38
  4. Step 4: Simplify right side
    11,330.70x = 98,436,733.59
  5. Step 5: Solve for x
    x = 98,436,733.59/11,330.70
  6. Step 6: Final answer
    x = 8,687.62

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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.