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Finding the Fourth Proportional to 11,799.81, 17,712 and 5,230.61

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Solution

The fourth proportional to 11,799.81, 17,712 and 5,230.61 is: 7,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.81 : 17,712 = 5,230.61 : x
  2. Step 2: Convert to fraction form
    11,799.81/17,712 = 5,230.61/x
  3. Step 3: Cross multiply
    11,799.81x = 17,712 × 5,230.61
  4. Step 4: Simplify right side
    11,799.81x = 92,644,475.76
  5. Step 5: Solve for x
    x = 92,644,475.76/11,799.81
  6. Step 6: Final answer
    x = 7,851.35

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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.