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Finding the Fourth Proportional to 7,630.74, 11,446.14 and 2,700.38

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Solution

The fourth proportional to 7,630.74, 11,446.14 and 2,700.38 is: 4,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.74 : 11,446.14 = 2,700.38 : x
  2. Step 2: Convert to fraction form
    7,630.74/11,446.14 = 2,700.38/x
  3. Step 3: Cross multiply
    7,630.74x = 11,446.14 × 2,700.38
  4. Step 4: Simplify right side
    7,630.74x = 30,908,927.53
  5. Step 5: Solve for x
    x = 30,908,927.53/7,630.74
  6. Step 6: Final answer
    x = 4,050.58

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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.