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Finding the Fourth Proportional to 11,829.24, 16,323.68 and 7,352.88

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Solution

The fourth proportional to 11,829.24, 16,323.68 and 7,352.88 is: 10,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.24 : 16,323.68 = 7,352.88 : x
  2. Step 2: Convert to fraction form
    11,829.24/16,323.68 = 7,352.88/x
  3. Step 3: Cross multiply
    11,829.24x = 16,323.68 × 7,352.88
  4. Step 4: Simplify right side
    11,829.24x = 120,026,017.37
  5. Step 5: Solve for x
    x = 120,026,017.37/11,829.24
  6. Step 6: Final answer
    x = 10,146.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.