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Finding the Fourth Proportional to 11,225.16, 16,839 and 9,162.72

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Solution

The fourth proportional to 11,225.16, 16,839 and 9,162.72 is: 13,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.16 : 16,839 = 9,162.72 : x
  2. Step 2: Convert to fraction form
    11,225.16/16,839 = 9,162.72/x
  3. Step 3: Cross multiply
    11,225.16x = 16,839 × 9,162.72
  4. Step 4: Simplify right side
    11,225.16x = 154,291,042.08
  5. Step 5: Solve for x
    x = 154,291,042.08/11,225.16
  6. Step 6: Final answer
    x = 13,745.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.