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Finding the Fourth Proportional to 8,142.41, 12,204.17 and 3,750.63

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Solution

The fourth proportional to 8,142.41, 12,204.17 and 3,750.63 is: 5,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.41 : 12,204.17 = 3,750.63 : x
  2. Step 2: Convert to fraction form
    8,142.41/12,204.17 = 3,750.63/x
  3. Step 3: Cross multiply
    8,142.41x = 12,204.17 × 3,750.63
  4. Step 4: Simplify right side
    8,142.41x = 45,773,307.37
  5. Step 5: Solve for x
    x = 45,773,307.37/8,142.41
  6. Step 6: Final answer
    x = 5,621.60

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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.