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Finding the Fourth Proportional to 11,536.02, 15,920.82 and 7,344

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Solution

The fourth proportional to 11,536.02, 15,920.82 and 7,344 is: 10,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.02 : 15,920.82 = 7,344 : x
  2. Step 2: Convert to fraction form
    11,536.02/15,920.82 = 7,344/x
  3. Step 3: Cross multiply
    11,536.02x = 15,920.82 × 7,344
  4. Step 4: Simplify right side
    11,536.02x = 116,922,502.08
  5. Step 5: Solve for x
    x = 116,922,502.08/11,536.02
  6. Step 6: Final answer
    x = 10,135.43

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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.