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Finding the Fourth Proportional to 11,536.40, 15,911.52 and 9,945.84

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Solution

The fourth proportional to 11,536.40, 15,911.52 and 9,945.84 is: 13,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.40 : 15,911.52 = 9,945.84 : x
  2. Step 2: Convert to fraction form
    11,536.40/15,911.52 = 9,945.84/x
  3. Step 3: Cross multiply
    11,536.40x = 15,911.52 × 9,945.84
  4. Step 4: Simplify right side
    11,536.40x = 158,253,432.08
  5. Step 5: Solve for x
    x = 158,253,432.08/11,536.40
  6. Step 6: Final answer
    x = 13,717.75

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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.