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Finding the Fourth Proportional to 10,636.20, 15,944 and 5,958.48

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Solution

The fourth proportional to 10,636.20, 15,944 and 5,958.48 is: 8,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.20 : 15,944 = 5,958.48 : x
  2. Step 2: Convert to fraction form
    10,636.20/15,944 = 5,958.48/x
  3. Step 3: Cross multiply
    10,636.20x = 15,944 × 5,958.48
  4. Step 4: Simplify right side
    10,636.20x = 95,002,005.12
  5. Step 5: Solve for x
    x = 95,002,005.12/10,636.20
  6. Step 6: Final answer
    x = 8,931.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.