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Finding the Fourth Proportional to 8,271.95, 12,407.91 and 2,115.95

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Solution

The fourth proportional to 8,271.95, 12,407.91 and 2,115.95 is: 3,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.95 : 12,407.91 = 2,115.95 : x
  2. Step 2: Convert to fraction form
    8,271.95/12,407.91 = 2,115.95/x
  3. Step 3: Cross multiply
    8,271.95x = 12,407.91 × 2,115.95
  4. Step 4: Simplify right side
    8,271.95x = 26,254,455.12
  5. Step 5: Solve for x
    x = 26,254,455.12/8,271.95
  6. Step 6: Final answer
    x = 3,173.92

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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.