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Finding the Fourth Proportional to 8,041.72, 12,072.30 and 4,775.80

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Solution

The fourth proportional to 8,041.72, 12,072.30 and 4,775.80 is: 7,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.72 : 12,072.30 = 4,775.80 : x
  2. Step 2: Convert to fraction form
    8,041.72/12,072.30 = 4,775.80/x
  3. Step 3: Cross multiply
    8,041.72x = 12,072.30 × 4,775.80
  4. Step 4: Simplify right side
    8,041.72x = 57,654,890.34
  5. Step 5: Solve for x
    x = 57,654,890.34/8,041.72
  6. Step 6: Final answer
    x = 7,169.47

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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.