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Finding the Fourth Proportional to 11,808.09, 17,677.58 and 7,159.77

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Solution

The fourth proportional to 11,808.09, 17,677.58 and 7,159.77 is: 10,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.09 : 17,677.58 = 7,159.77 : x
  2. Step 2: Convert to fraction form
    11,808.09/17,677.58 = 7,159.77/x
  3. Step 3: Cross multiply
    11,808.09x = 17,677.58 × 7,159.77
  4. Step 4: Simplify right side
    11,808.09x = 126,567,371.16
  5. Step 5: Solve for x
    x = 126,567,371.16/11,808.09
  6. Step 6: Final answer
    x = 10,718.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.