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Finding the Fourth Proportional to 8,208.16, 12,312.24 and 2,052.16

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Solution

The fourth proportional to 8,208.16, 12,312.24 and 2,052.16 is: 3,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.16 : 12,312.24 = 2,052.16 : x
  2. Step 2: Convert to fraction form
    8,208.16/12,312.24 = 2,052.16/x
  3. Step 3: Cross multiply
    8,208.16x = 12,312.24 × 2,052.16
  4. Step 4: Simplify right side
    8,208.16x = 25,266,686.44
  5. Step 5: Solve for x
    x = 25,266,686.44/8,208.16
  6. Step 6: Final answer
    x = 3,078.24

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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.