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Finding the Fourth Proportional to 8,585.52, 12,880.52 and 2,429.52

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Solution

The fourth proportional to 8,585.52, 12,880.52 and 2,429.52 is: 3,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.52 : 12,880.52 = 2,429.52 : x
  2. Step 2: Convert to fraction form
    8,585.52/12,880.52 = 2,429.52/x
  3. Step 3: Cross multiply
    8,585.52x = 12,880.52 × 2,429.52
  4. Step 4: Simplify right side
    8,585.52x = 31,293,480.95
  5. Step 5: Solve for x
    x = 31,293,480.95/8,585.52
  6. Step 6: Final answer
    x = 3,644.91

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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.