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Finding the Fourth Proportional to 7,420, 11,122.59 and 3,710.90

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Solution

The fourth proportional to 7,420, 11,122.59 and 3,710.90 is: 5,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 11,122.59 = 3,710.90 : x
  2. Step 2: Convert to fraction form
    7,420/11,122.59 = 3,710.90/x
  3. Step 3: Cross multiply
    7,420x = 11,122.59 × 3,710.90
  4. Step 4: Simplify right side
    7,420x = 41,274,819.23
  5. Step 5: Solve for x
    x = 41,274,819.23/7,420
  6. Step 6: Final answer
    x = 5,562.64

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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.