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Finding the Fourth Proportional to 8,264.34, 12,396.15 and 4,568.40

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Solution

The fourth proportional to 8,264.34, 12,396.15 and 4,568.40 is: 6,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.34 : 12,396.15 = 4,568.40 : x
  2. Step 2: Convert to fraction form
    8,264.34/12,396.15 = 4,568.40/x
  3. Step 3: Cross multiply
    8,264.34x = 12,396.15 × 4,568.40
  4. Step 4: Simplify right side
    8,264.34x = 56,630,571.66
  5. Step 5: Solve for x
    x = 56,630,571.66/8,264.34
  6. Step 6: Final answer
    x = 6,852.40

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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.