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Finding the Fourth Proportional to 7,662.18, 10,577.84 and 5,157.45

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Solution

The fourth proportional to 7,662.18, 10,577.84 and 5,157.45 is: 7,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.18 : 10,577.84 = 5,157.45 : x
  2. Step 2: Convert to fraction form
    7,662.18/10,577.84 = 5,157.45/x
  3. Step 3: Cross multiply
    7,662.18x = 10,577.84 × 5,157.45
  4. Step 4: Simplify right side
    7,662.18x = 54,554,680.91
  5. Step 5: Solve for x
    x = 54,554,680.91/7,662.18
  6. Step 6: Final answer
    x = 7,119.99

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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.