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Finding the Fourth Proportional to 6,883.84, 10,325.99 and 4,221.62

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Solution

The fourth proportional to 6,883.84, 10,325.99 and 4,221.62 is: 6,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.84 : 10,325.99 = 4,221.62 : x
  2. Step 2: Convert to fraction form
    6,883.84/10,325.99 = 4,221.62/x
  3. Step 3: Cross multiply
    6,883.84x = 10,325.99 × 4,221.62
  4. Step 4: Simplify right side
    6,883.84x = 43,592,461.63
  5. Step 5: Solve for x
    x = 43,592,461.63/6,883.84
  6. Step 6: Final answer
    x = 6,332.58

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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.