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Finding the Fourth Proportional to 11,717.53, 17,578.64 and 4,322.03

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Solution

The fourth proportional to 11,717.53, 17,578.64 and 4,322.03 is: 6,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.53 : 17,578.64 = 4,322.03 : x
  2. Step 2: Convert to fraction form
    11,717.53/17,578.64 = 4,322.03/x
  3. Step 3: Cross multiply
    11,717.53x = 17,578.64 × 4,322.03
  4. Step 4: Simplify right side
    11,717.53x = 75,975,332.35
  5. Step 5: Solve for x
    x = 75,975,332.35/11,717.53
  6. Step 6: Final answer
    x = 6,483.90

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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.