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Finding the Fourth Proportional to 6,883.70, 10,320.91 and 4,112.30

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Solution

The fourth proportional to 6,883.70, 10,320.91 and 4,112.30 is: 6,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.70 : 10,320.91 = 4,112.30 : x
  2. Step 2: Convert to fraction form
    6,883.70/10,320.91 = 4,112.30/x
  3. Step 3: Cross multiply
    6,883.70x = 10,320.91 × 4,112.30
  4. Step 4: Simplify right side
    6,883.70x = 42,442,693.71
  5. Step 5: Solve for x
    x = 42,442,693.71/6,883.70
  6. Step 6: Final answer
    x = 6,165.68

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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.