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Finding the Fourth Proportional to 7,661.89, 10,577.44 and 5,157.17

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Solution

The fourth proportional to 7,661.89, 10,577.44 and 5,157.17 is: 7,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.89 : 10,577.44 = 5,157.17 : x
  2. Step 2: Convert to fraction form
    7,661.89/10,577.44 = 5,157.17/x
  3. Step 3: Cross multiply
    7,661.89x = 10,577.44 × 5,157.17
  4. Step 4: Simplify right side
    7,661.89x = 54,549,656.24
  5. Step 5: Solve for x
    x = 54,549,656.24/7,661.89
  6. Step 6: Final answer
    x = 7,119.61

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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.