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Finding the Fourth Proportional to 11,981.30, 17,978.62 and 4,966.50

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Solution

The fourth proportional to 11,981.30, 17,978.62 and 4,966.50 is: 7,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.30 : 17,978.62 = 4,966.50 : x
  2. Step 2: Convert to fraction form
    11,981.30/17,978.62 = 4,966.50/x
  3. Step 3: Cross multiply
    11,981.30x = 17,978.62 × 4,966.50
  4. Step 4: Simplify right side
    11,981.30x = 89,290,816.23
  5. Step 5: Solve for x
    x = 89,290,816.23/11,981.30
  6. Step 6: Final answer
    x = 7,452.51

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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.