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Finding the Fourth Proportional to 10,980.82, 15,153.58 and 5,945.05

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Solution

The fourth proportional to 10,980.82, 15,153.58 and 5,945.05 is: 8,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.82 : 15,153.58 = 5,945.05 : x
  2. Step 2: Convert to fraction form
    10,980.82/15,153.58 = 5,945.05/x
  3. Step 3: Cross multiply
    10,980.82x = 15,153.58 × 5,945.05
  4. Step 4: Simplify right side
    10,980.82x = 90,088,790.78
  5. Step 5: Solve for x
    x = 90,088,790.78/10,980.82
  6. Step 6: Final answer
    x = 8,204.20

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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.