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Finding the Fourth Proportional to 10,308.57, 14,225.74 and 5,832.28

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Solution

The fourth proportional to 10,308.57, 14,225.74 and 5,832.28 is: 8,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.57 : 14,225.74 = 5,832.28 : x
  2. Step 2: Convert to fraction form
    10,308.57/14,225.74 = 5,832.28/x
  3. Step 3: Cross multiply
    10,308.57x = 14,225.74 × 5,832.28
  4. Step 4: Simplify right side
    10,308.57x = 82,968,502.09
  5. Step 5: Solve for x
    x = 82,968,502.09/10,308.57
  6. Step 6: Final answer
    x = 8,048.50

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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.