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Finding the Fourth Proportional to 7,070.88, 10,609.74 and 2,912.16

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Solution

The fourth proportional to 7,070.88, 10,609.74 and 2,912.16 is: 4,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.88 : 10,609.74 = 2,912.16 : x
  2. Step 2: Convert to fraction form
    7,070.88/10,609.74 = 2,912.16/x
  3. Step 3: Cross multiply
    7,070.88x = 10,609.74 × 2,912.16
  4. Step 4: Simplify right side
    7,070.88x = 30,897,260.44
  5. Step 5: Solve for x
    x = 30,897,260.44/7,070.88
  6. Step 6: Final answer
    x = 4,369.65

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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.