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Finding the Fourth Proportional to 11,306.70, 15,608.61 and 7,536.15

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Solution

The fourth proportional to 11,306.70, 15,608.61 and 7,536.15 is: 10,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.70 : 15,608.61 = 7,536.15 : x
  2. Step 2: Convert to fraction form
    11,306.70/15,608.61 = 7,536.15/x
  3. Step 3: Cross multiply
    11,306.70x = 15,608.61 × 7,536.15
  4. Step 4: Simplify right side
    11,306.70x = 117,628,846.43
  5. Step 5: Solve for x
    x = 117,628,846.43/11,306.70
  6. Step 6: Final answer
    x = 10,403.46

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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.