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Finding the Fourth Proportional to 7,662.96, 10,583.76 and 5,022.18

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Solution

The fourth proportional to 7,662.96, 10,583.76 and 5,022.18 is: 6,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.96 : 10,583.76 = 5,022.18 : x
  2. Step 2: Convert to fraction form
    7,662.96/10,583.76 = 5,022.18/x
  3. Step 3: Cross multiply
    7,662.96x = 10,583.76 × 5,022.18
  4. Step 4: Simplify right side
    7,662.96x = 53,153,547.80
  5. Step 5: Solve for x
    x = 53,153,547.80/7,662.96
  6. Step 6: Final answer
    x = 6,936.43

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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.