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Finding the Fourth Proportional to 7,948.50, 10,968.96 and 4,412.22

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Solution

The fourth proportional to 7,948.50, 10,968.96 and 4,412.22 is: 6,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.50 : 10,968.96 = 4,412.22 : x
  2. Step 2: Convert to fraction form
    7,948.50/10,968.96 = 4,412.22/x
  3. Step 3: Cross multiply
    7,948.50x = 10,968.96 × 4,412.22
  4. Step 4: Simplify right side
    7,948.50x = 48,397,464.69
  5. Step 5: Solve for x
    x = 48,397,464.69/7,948.50
  6. Step 6: Final answer
    x = 6,088.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.