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Finding the Fourth Proportional to 6,984.75, 10,478.50 and 3,089.16

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Solution

The fourth proportional to 6,984.75, 10,478.50 and 3,089.16 is: 4,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.75 : 10,478.50 = 3,089.16 : x
  2. Step 2: Convert to fraction form
    6,984.75/10,478.50 = 3,089.16/x
  3. Step 3: Cross multiply
    6,984.75x = 10,478.50 × 3,089.16
  4. Step 4: Simplify right side
    6,984.75x = 32,369,755.34
  5. Step 5: Solve for x
    x = 32,369,755.34/6,984.75
  6. Step 6: Final answer
    x = 4,634.35

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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.