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Finding the Fourth Proportional to 11,444.05, 17,154.24 and 6,503.05

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Solution

The fourth proportional to 11,444.05, 17,154.24 and 6,503.05 is: 9,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.05 : 17,154.24 = 6,503.05 : x
  2. Step 2: Convert to fraction form
    11,444.05/17,154.24 = 6,503.05/x
  3. Step 3: Cross multiply
    11,444.05x = 17,154.24 × 6,503.05
  4. Step 4: Simplify right side
    11,444.05x = 111,554,880.43
  5. Step 5: Solve for x
    x = 111,554,880.43/11,444.05
  6. Step 6: Final answer
    x = 9,747.85

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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.