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Finding the Fourth Proportional to 27,686.60, 41,536.26 and 7,965.32

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Solution

The fourth proportional to 27,686.60, 41,536.26 and 7,965.32 is: 11,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.60 : 41,536.26 = 7,965.32 : x
  2. Step 2: Convert to fraction form
    27,686.60/41,536.26 = 7,965.32/x
  3. Step 3: Cross multiply
    27,686.60x = 41,536.26 × 7,965.32
  4. Step 4: Simplify right side
    27,686.60x = 330,849,602.50
  5. Step 5: Solve for x
    x = 330,849,602.50/27,686.60
  6. Step 6: Final answer
    x = 11,949.81

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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.