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Finding the Fourth Proportional to 8,041.45, 12,080.71 and 7,709.31

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Solution

The fourth proportional to 8,041.45, 12,080.71 and 7,709.31 is: 11,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.45 : 12,080.71 = 7,709.31 : x
  2. Step 2: Convert to fraction form
    8,041.45/12,080.71 = 7,709.31/x
  3. Step 3: Cross multiply
    8,041.45x = 12,080.71 × 7,709.31
  4. Step 4: Simplify right side
    8,041.45x = 93,133,938.41
  5. Step 5: Solve for x
    x = 93,133,938.41/8,041.45
  6. Step 6: Final answer
    x = 11,581.73

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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.