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Finding the Fourth Proportional to 10,636.56, 15,947.01 and 5,368.95

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Solution

The fourth proportional to 10,636.56, 15,947.01 and 5,368.95 is: 8,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.56 : 15,947.01 = 5,368.95 : x
  2. Step 2: Convert to fraction form
    10,636.56/15,947.01 = 5,368.95/x
  3. Step 3: Cross multiply
    10,636.56x = 15,947.01 × 5,368.95
  4. Step 4: Simplify right side
    10,636.56x = 85,618,699.34
  5. Step 5: Solve for x
    x = 85,618,699.34/10,636.56
  6. Step 6: Final answer
    x = 8,049.47

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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.