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Finding the Fourth Proportional to 8,205.96, 12,315.40 and 3,013.32

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Solution

The fourth proportional to 8,205.96, 12,315.40 and 3,013.32 is: 4,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.96 : 12,315.40 = 3,013.32 : x
  2. Step 2: Convert to fraction form
    8,205.96/12,315.40 = 3,013.32/x
  3. Step 3: Cross multiply
    8,205.96x = 12,315.40 × 3,013.32
  4. Step 4: Simplify right side
    8,205.96x = 37,110,241.13
  5. Step 5: Solve for x
    x = 37,110,241.13/8,205.96
  6. Step 6: Final answer
    x = 4,522.35

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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.