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Finding the Fourth Proportional to 8,452.24, 12,686.59 and 4,072.77

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Solution

The fourth proportional to 8,452.24, 12,686.59 and 4,072.77 is: 6,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.24 : 12,686.59 = 4,072.77 : x
  2. Step 2: Convert to fraction form
    8,452.24/12,686.59 = 4,072.77/x
  3. Step 3: Cross multiply
    8,452.24x = 12,686.59 × 4,072.77
  4. Step 4: Simplify right side
    8,452.24x = 51,669,639.28
  5. Step 5: Solve for x
    x = 51,669,639.28/8,452.24
  6. Step 6: Final answer
    x = 6,113.13

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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.