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Finding the Fourth Proportional to 6,988.51, 10,475.43 and 3,287.80

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Solution

The fourth proportional to 6,988.51, 10,475.43 and 3,287.80 is: 4,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.51 : 10,475.43 = 3,287.80 : x
  2. Step 2: Convert to fraction form
    6,988.51/10,475.43 = 3,287.80/x
  3. Step 3: Cross multiply
    6,988.51x = 10,475.43 × 3,287.80
  4. Step 4: Simplify right side
    6,988.51x = 34,441,118.75
  5. Step 5: Solve for x
    x = 34,441,118.75/6,988.51
  6. Step 6: Final answer
    x = 4,928.25

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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.