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Finding the Fourth Proportional to 7,349.43, 10,142.16 and 6,285.83

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Solution

The fourth proportional to 7,349.43, 10,142.16 and 6,285.83 is: 8,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.43 : 10,142.16 = 6,285.83 : x
  2. Step 2: Convert to fraction form
    7,349.43/10,142.16 = 6,285.83/x
  3. Step 3: Cross multiply
    7,349.43x = 10,142.16 × 6,285.83
  4. Step 4: Simplify right side
    7,349.43x = 63,751,893.59
  5. Step 5: Solve for x
    x = 63,751,893.59/7,349.43
  6. Step 6: Final answer
    x = 8,674.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.