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Finding the Fourth Proportional to 11,802.81, 17,715.16 and 5,963.52

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Solution

The fourth proportional to 11,802.81, 17,715.16 and 5,963.52 is: 8,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.81 : 17,715.16 = 5,963.52 : x
  2. Step 2: Convert to fraction form
    11,802.81/17,715.16 = 5,963.52/x
  3. Step 3: Cross multiply
    11,802.81x = 17,715.16 × 5,963.52
  4. Step 4: Simplify right side
    11,802.81x = 105,644,622.39
  5. Step 5: Solve for x
    x = 105,644,622.39/11,802.81
  6. Step 6: Final answer
    x = 8,950.81

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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.