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Finding the Fourth Proportional to 6,988.64, 10,482.96 and 3,289.64

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Solution

The fourth proportional to 6,988.64, 10,482.96 and 3,289.64 is: 4,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.64 : 10,482.96 = 3,289.64 : x
  2. Step 2: Convert to fraction form
    6,988.64/10,482.96 = 3,289.64/x
  3. Step 3: Cross multiply
    6,988.64x = 10,482.96 × 3,289.64
  4. Step 4: Simplify right side
    6,988.64x = 34,485,164.53
  5. Step 5: Solve for x
    x = 34,485,164.53/6,988.64
  6. Step 6: Final answer
    x = 4,934.46

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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.