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Finding the Fourth Proportional to 11,866.22, 16,374.84 and 6,830.60

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Solution

The fourth proportional to 11,866.22, 16,374.84 and 6,830.60 is: 9,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.22 : 16,374.84 = 6,830.60 : x
  2. Step 2: Convert to fraction form
    11,866.22/16,374.84 = 6,830.60/x
  3. Step 3: Cross multiply
    11,866.22x = 16,374.84 × 6,830.60
  4. Step 4: Simplify right side
    11,866.22x = 111,849,900.23
  5. Step 5: Solve for x
    x = 111,849,900.23/11,866.22
  6. Step 6: Final answer
    x = 9,425.91

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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.