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Finding the Fourth Proportional to 11,802.53, 17,700.96 and 5,225.06

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Solution

The fourth proportional to 11,802.53, 17,700.96 and 5,225.06 is: 7,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.53 : 17,700.96 = 5,225.06 : x
  2. Step 2: Convert to fraction form
    11,802.53/17,700.96 = 5,225.06/x
  3. Step 3: Cross multiply
    11,802.53x = 17,700.96 × 5,225.06
  4. Step 4: Simplify right side
    11,802.53x = 92,488,578.06
  5. Step 5: Solve for x
    x = 92,488,578.06/11,802.53
  6. Step 6: Final answer
    x = 7,836.33

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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.