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Finding the Fourth Proportional to 8,271.77, 12,407.67 and 2,031.80

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Solution

The fourth proportional to 8,271.77, 12,407.67 and 2,031.80 is: 3,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.77 : 12,407.67 = 2,031.80 : x
  2. Step 2: Convert to fraction form
    8,271.77/12,407.67 = 2,031.80/x
  3. Step 3: Cross multiply
    8,271.77x = 12,407.67 × 2,031.80
  4. Step 4: Simplify right side
    8,271.77x = 25,209,841.87
  5. Step 5: Solve for x
    x = 25,209,841.87/8,271.77
  6. Step 6: Final answer
    x = 3,047.70

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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.