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Finding the Fourth Proportional to 11,591.70, 16,009.68 and 7,808.28

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Solution

The fourth proportional to 11,591.70, 16,009.68 and 7,808.28 is: 10,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.70 : 16,009.68 = 7,808.28 : x
  2. Step 2: Convert to fraction form
    11,591.70/16,009.68 = 7,808.28/x
  3. Step 3: Cross multiply
    11,591.70x = 16,009.68 × 7,808.28
  4. Step 4: Simplify right side
    11,591.70x = 125,008,064.15
  5. Step 5: Solve for x
    x = 125,008,064.15/11,591.70
  6. Step 6: Final answer
    x = 10,784.27

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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.