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Finding the Fourth Proportional to 11,550.36, 15,931.94 and 7,965.48

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Solution

The fourth proportional to 11,550.36, 15,931.94 and 7,965.48 is: 10,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.36 : 15,931.94 = 7,965.48 : x
  2. Step 2: Convert to fraction form
    11,550.36/15,931.94 = 7,965.48/x
  3. Step 3: Cross multiply
    11,550.36x = 15,931.94 × 7,965.48
  4. Step 4: Simplify right side
    11,550.36x = 126,905,549.43
  5. Step 5: Solve for x
    x = 126,905,549.43/11,550.36
  6. Step 6: Final answer
    x = 10,987.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.