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Finding the Fourth Proportional to 28,691.96, 43,037.94 and 10,211

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Solution

The fourth proportional to 28,691.96, 43,037.94 and 10,211 is: 15,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,691.96 : 43,037.94 = 10,211 : x
  2. Step 2: Convert to fraction form
    28,691.96/43,037.94 = 10,211/x
  3. Step 3: Cross multiply
    28,691.96x = 43,037.94 × 10,211
  4. Step 4: Simplify right side
    28,691.96x = 439,460,405.34
  5. Step 5: Solve for x
    x = 439,460,405.34/28,691.96
  6. Step 6: Final answer
    x = 15,316.50

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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.