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Finding the Fourth Proportional to 6,984.32, 10,461.41 and 3,281.00

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Solution

The fourth proportional to 6,984.32, 10,461.41 and 3,281.00 is: 4,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.32 : 10,461.41 = 3,281.00 : x
  2. Step 2: Convert to fraction form
    6,984.32/10,461.41 = 3,281.00/x
  3. Step 3: Cross multiply
    6,984.32x = 10,461.41 × 3,281.00
  4. Step 4: Simplify right side
    6,984.32x = 34,323,817.50
  5. Step 5: Solve for x
    x = 34,323,817.50/6,984.32
  6. Step 6: Final answer
    x = 4,914.41

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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.