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Finding the Fourth Proportional to 7,380.07, 11,070 and 2,996.47

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Solution

The fourth proportional to 7,380.07, 11,070 and 2,996.47 is: 4,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.07 : 11,070 = 2,996.47 : x
  2. Step 2: Convert to fraction form
    7,380.07/11,070 = 2,996.47/x
  3. Step 3: Cross multiply
    7,380.07x = 11,070 × 2,996.47
  4. Step 4: Simplify right side
    7,380.07x = 33,170,922.90
  5. Step 5: Solve for x
    x = 33,170,922.90/7,380.07
  6. Step 6: Final answer
    x = 4,494.66

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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.