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Finding the Fourth Proportional to 7,624.62, 10,522.14 and 5,390.43

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Solution

The fourth proportional to 7,624.62, 10,522.14 and 5,390.43 is: 7,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.62 : 10,522.14 = 5,390.43 : x
  2. Step 2: Convert to fraction form
    7,624.62/10,522.14 = 5,390.43/x
  3. Step 3: Cross multiply
    7,624.62x = 10,522.14 × 5,390.43
  4. Step 4: Simplify right side
    7,624.62x = 56,718,859.12
  5. Step 5: Solve for x
    x = 56,718,859.12/7,624.62
  6. Step 6: Final answer
    x = 7,438.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.