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Finding the Fourth Proportional to 11,537.34, 15,806.21 and 11,105.40

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Solution

The fourth proportional to 11,537.34, 15,806.21 and 11,105.40 is: 15,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.34 : 15,806.21 = 11,105.40 : x
  2. Step 2: Convert to fraction form
    11,537.34/15,806.21 = 11,105.40/x
  3. Step 3: Cross multiply
    11,537.34x = 15,806.21 × 11,105.40
  4. Step 4: Simplify right side
    11,537.34x = 175,534,284.53
  5. Step 5: Solve for x
    x = 175,534,284.53/11,537.34
  6. Step 6: Final answer
    x = 15,214.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.