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Finding the Fourth Proportional to 8,522.71, 12,784.97 and 2,599.58

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Solution

The fourth proportional to 8,522.71, 12,784.97 and 2,599.58 is: 3,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.71 : 12,784.97 = 2,599.58 : x
  2. Step 2: Convert to fraction form
    8,522.71/12,784.97 = 2,599.58/x
  3. Step 3: Cross multiply
    8,522.71x = 12,784.97 × 2,599.58
  4. Step 4: Simplify right side
    8,522.71x = 33,235,590.77
  5. Step 5: Solve for x
    x = 33,235,590.77/8,522.71
  6. Step 6: Final answer
    x = 3,899.65

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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.