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Finding the Fourth Proportional to 11,511, 15,885.36 and 7,324.92

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Solution

The fourth proportional to 11,511, 15,885.36 and 7,324.92 is: 10,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511 : 15,885.36 = 7,324.92 : x
  2. Step 2: Convert to fraction form
    11,511/15,885.36 = 7,324.92/x
  3. Step 3: Cross multiply
    11,511x = 15,885.36 × 7,324.92
  4. Step 4: Simplify right side
    11,511x = 116,358,991.17
  5. Step 5: Solve for x
    x = 116,358,991.17/11,511
  6. Step 6: Final answer
    x = 10,108.50

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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.