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Finding the Fourth Proportional to 27,636, 41,452.92 and 7,913.76

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Solution

The fourth proportional to 27,636, 41,452.92 and 7,913.76 is: 11,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636 : 41,452.92 = 7,913.76 : x
  2. Step 2: Convert to fraction form
    27,636/41,452.92 = 7,913.76/x
  3. Step 3: Cross multiply
    27,636x = 41,452.92 × 7,913.76
  4. Step 4: Simplify right side
    27,636x = 328,048,460.18
  5. Step 5: Solve for x
    x = 328,048,460.18/27,636
  6. Step 6: Final answer
    x = 11,870.33

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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.