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Finding the Fourth Proportional to 8,124.43, 12,186.65 and 2,930.31

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Solution

The fourth proportional to 8,124.43, 12,186.65 and 2,930.31 is: 4,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.43 : 12,186.65 = 2,930.31 : x
  2. Step 2: Convert to fraction form
    8,124.43/12,186.65 = 2,930.31/x
  3. Step 3: Cross multiply
    8,124.43x = 12,186.65 × 2,930.31
  4. Step 4: Simplify right side
    8,124.43x = 35,710,586.78
  5. Step 5: Solve for x
    x = 35,710,586.78/8,124.43
  6. Step 6: Final answer
    x = 4,395.46

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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.