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Finding the Fourth Proportional to 8,434.00, 12,651.02 and 2,590.57

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Solution

The fourth proportional to 8,434.00, 12,651.02 and 2,590.57 is: 3,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.00 : 12,651.02 = 2,590.57 : x
  2. Step 2: Convert to fraction form
    8,434.00/12,651.02 = 2,590.57/x
  3. Step 3: Cross multiply
    8,434.00x = 12,651.02 × 2,590.57
  4. Step 4: Simplify right side
    8,434.00x = 32,773,276.67
  5. Step 5: Solve for x
    x = 32,773,276.67/8,434.00
  6. Step 6: Final answer
    x = 3,885.85

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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.