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Finding the Fourth Proportional to 7,086.64, 10,634.28 and 6,654.64

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Solution

The fourth proportional to 7,086.64, 10,634.28 and 6,654.64 is: 9,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.64 : 10,634.28 = 6,654.64 : x
  2. Step 2: Convert to fraction form
    7,086.64/10,634.28 = 6,654.64/x
  3. Step 3: Cross multiply
    7,086.64x = 10,634.28 × 6,654.64
  4. Step 4: Simplify right side
    7,086.64x = 70,767,305.06
  5. Step 5: Solve for x
    x = 70,767,305.06/7,086.64
  6. Step 6: Final answer
    x = 9,986.02

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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.