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Finding the Fourth Proportional to 7,762.46, 11,644.85 and 3,602.90

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Solution

The fourth proportional to 7,762.46, 11,644.85 and 3,602.90 is: 5,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.46 : 11,644.85 = 3,602.90 : x
  2. Step 2: Convert to fraction form
    7,762.46/11,644.85 = 3,602.90/x
  3. Step 3: Cross multiply
    7,762.46x = 11,644.85 × 3,602.90
  4. Step 4: Simplify right side
    7,762.46x = 41,955,180.85
  5. Step 5: Solve for x
    x = 41,955,180.85/7,762.46
  6. Step 6: Final answer
    x = 5,404.88

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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.