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Finding the Fourth Proportional to 8,180.63, 12,277.14 and 5,995.07

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Solution

The fourth proportional to 8,180.63, 12,277.14 and 5,995.07 is: 8,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.63 : 12,277.14 = 5,995.07 : x
  2. Step 2: Convert to fraction form
    8,180.63/12,277.14 = 5,995.07/x
  3. Step 3: Cross multiply
    8,180.63x = 12,277.14 × 5,995.07
  4. Step 4: Simplify right side
    8,180.63x = 73,602,252.31
  5. Step 5: Solve for x
    x = 73,602,252.31/8,180.63
  6. Step 6: Final answer
    x = 8,997.14

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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.