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Finding the Fourth Proportional to 8,401.35, 12,589.71 and 7,478.76

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Solution

The fourth proportional to 8,401.35, 12,589.71 and 7,478.76 is: 11,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.35 : 12,589.71 = 7,478.76 : x
  2. Step 2: Convert to fraction form
    8,401.35/12,589.71 = 7,478.76/x
  3. Step 3: Cross multiply
    8,401.35x = 12,589.71 × 7,478.76
  4. Step 4: Simplify right side
    8,401.35x = 94,155,419.56
  5. Step 5: Solve for x
    x = 94,155,419.56/8,401.35
  6. Step 6: Final answer
    x = 11,207.18

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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.