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Finding the Fourth Proportional to 11,897.60, 16,420.72 and 6,860.92

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Solution

The fourth proportional to 11,897.60, 16,420.72 and 6,860.92 is: 9,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.60 : 16,420.72 = 6,860.92 : x
  2. Step 2: Convert to fraction form
    11,897.60/16,420.72 = 6,860.92/x
  3. Step 3: Cross multiply
    11,897.60x = 16,420.72 × 6,860.92
  4. Step 4: Simplify right side
    11,897.60x = 112,661,200.92
  5. Step 5: Solve for x
    x = 112,661,200.92/11,897.60
  6. Step 6: Final answer
    x = 9,469.24

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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.