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Finding the Fourth Proportional to 8,570.24, 12,833.40 and 8,361.20

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Solution

The fourth proportional to 8,570.24, 12,833.40 and 8,361.20 is: 12,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.24 : 12,833.40 = 8,361.20 : x
  2. Step 2: Convert to fraction form
    8,570.24/12,833.40 = 8,361.20/x
  3. Step 3: Cross multiply
    8,570.24x = 12,833.40 × 8,361.20
  4. Step 4: Simplify right side
    8,570.24x = 107,302,624.08
  5. Step 5: Solve for x
    x = 107,302,624.08/8,570.24
  6. Step 6: Final answer
    x = 12,520.38

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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.