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Finding the Fourth Proportional to 10,308.42, 14,225.42 and 5,832.09

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Solution

The fourth proportional to 10,308.42, 14,225.42 and 5,832.09 is: 8,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.42 : 14,225.42 = 5,832.09 : x
  2. Step 2: Convert to fraction form
    10,308.42/14,225.42 = 5,832.09/x
  3. Step 3: Cross multiply
    10,308.42x = 14,225.42 × 5,832.09
  4. Step 4: Simplify right side
    10,308.42x = 82,963,944.31
  5. Step 5: Solve for x
    x = 82,963,944.31/10,308.42
  6. Step 6: Final answer
    x = 8,048.17

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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.