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Finding the Fourth Proportional to 8,434.82, 12,652.23 and 2,590.67

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Solution

The fourth proportional to 8,434.82, 12,652.23 and 2,590.67 is: 3,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.82 : 12,652.23 = 2,590.67 : x
  2. Step 2: Convert to fraction form
    8,434.82/12,652.23 = 2,590.67/x
  3. Step 3: Cross multiply
    8,434.82x = 12,652.23 × 2,590.67
  4. Step 4: Simplify right side
    8,434.82x = 32,777,752.69
  5. Step 5: Solve for x
    x = 32,777,752.69/8,434.82
  6. Step 6: Final answer
    x = 3,886.01

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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.