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Finding the Fourth Proportional to 8,421.82, 12,640.51 and 4,264.75

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Solution

The fourth proportional to 8,421.82, 12,640.51 and 4,264.75 is: 6,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.82 : 12,640.51 = 4,264.75 : x
  2. Step 2: Convert to fraction form
    8,421.82/12,640.51 = 4,264.75/x
  3. Step 3: Cross multiply
    8,421.82x = 12,640.51 × 4,264.75
  4. Step 4: Simplify right side
    8,421.82x = 53,908,572.76
  5. Step 5: Solve for x
    x = 53,908,572.76/8,421.82
  6. Step 6: Final answer
    x = 6,401.06

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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.