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Finding the Fourth Proportional to 7,562.82, 10,436.70 and 4,205.55

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Solution

The fourth proportional to 7,562.82, 10,436.70 and 4,205.55 is: 5,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.82 : 10,436.70 = 4,205.55 : x
  2. Step 2: Convert to fraction form
    7,562.82/10,436.70 = 4,205.55/x
  3. Step 3: Cross multiply
    7,562.82x = 10,436.70 × 4,205.55
  4. Step 4: Simplify right side
    7,562.82x = 43,892,063.69
  5. Step 5: Solve for x
    x = 43,892,063.69/7,562.82
  6. Step 6: Final answer
    x = 5,803.66

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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.