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Finding the Fourth Proportional to 8,312.18, 12,468.22 and 2,072.16

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Solution

The fourth proportional to 8,312.18, 12,468.22 and 2,072.16 is: 3,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.18 : 12,468.22 = 2,072.16 : x
  2. Step 2: Convert to fraction form
    8,312.18/12,468.22 = 2,072.16/x
  3. Step 3: Cross multiply
    8,312.18x = 12,468.22 × 2,072.16
  4. Step 4: Simplify right side
    8,312.18x = 25,836,146.76
  5. Step 5: Solve for x
    x = 25,836,146.76/8,312.18
  6. Step 6: Final answer
    x = 3,108.23

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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.