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Finding the Fourth Proportional to 11,852.96, 17,785.65 and 7,691.99

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Solution

The fourth proportional to 11,852.96, 17,785.65 and 7,691.99 is: 11,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.96 : 17,785.65 = 7,691.99 : x
  2. Step 2: Convert to fraction form
    11,852.96/17,785.65 = 7,691.99/x
  3. Step 3: Cross multiply
    11,852.96x = 17,785.65 × 7,691.99
  4. Step 4: Simplify right side
    11,852.96x = 136,807,041.94
  5. Step 5: Solve for x
    x = 136,807,041.94/11,852.96
  6. Step 6: Final answer
    x = 11,542.01

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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.