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Finding the Fourth Proportional to 11,817.36, 17,730.09 and 5,248.17

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Solution

The fourth proportional to 11,817.36, 17,730.09 and 5,248.17 is: 7,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.36 : 17,730.09 = 5,248.17 : x
  2. Step 2: Convert to fraction form
    11,817.36/17,730.09 = 5,248.17/x
  3. Step 3: Cross multiply
    11,817.36x = 17,730.09 × 5,248.17
  4. Step 4: Simplify right side
    11,817.36x = 93,050,526.44
  5. Step 5: Solve for x
    x = 93,050,526.44/11,817.36
  6. Step 6: Final answer
    x = 7,874.05

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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.