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Finding the Fourth Proportional to 11,651.69, 17,477.28 and 2,886.47

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Solution

The fourth proportional to 11,651.69, 17,477.28 and 2,886.47 is: 4,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.69 : 17,477.28 = 2,886.47 : x
  2. Step 2: Convert to fraction form
    11,651.69/17,477.28 = 2,886.47/x
  3. Step 3: Cross multiply
    11,651.69x = 17,477.28 × 2,886.47
  4. Step 4: Simplify right side
    11,651.69x = 50,447,557.02
  5. Step 5: Solve for x
    x = 50,447,557.02/11,651.69
  6. Step 6: Final answer
    x = 4,329.64

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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.