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Finding the Fourth Proportional to 11,540.16, 15,894.36 and 9,965.52

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Solution

The fourth proportional to 11,540.16, 15,894.36 and 9,965.52 is: 13,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.16 : 15,894.36 = 9,965.52 : x
  2. Step 2: Convert to fraction form
    11,540.16/15,894.36 = 9,965.52/x
  3. Step 3: Cross multiply
    11,540.16x = 15,894.36 × 9,965.52
  4. Step 4: Simplify right side
    11,540.16x = 158,395,562.47
  5. Step 5: Solve for x
    x = 158,395,562.47/11,540.16
  6. Step 6: Final answer
    x = 13,725.60

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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.