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Finding the Fourth Proportional to 11,901.60, 16,416 and 7,179.84

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Solution

The fourth proportional to 11,901.60, 16,416 and 7,179.84 is: 9,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.60 : 16,416 = 7,179.84 : x
  2. Step 2: Convert to fraction form
    11,901.60/16,416 = 7,179.84/x
  3. Step 3: Cross multiply
    11,901.60x = 16,416 × 7,179.84
  4. Step 4: Simplify right side
    11,901.60x = 117,864,253.44
  5. Step 5: Solve for x
    x = 117,864,253.44/11,901.60
  6. Step 6: Final answer
    x = 9,903.23

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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.