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Finding the Fourth Proportional to 8,362.32, 11,541.96 and 6,127.44

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Solution

The fourth proportional to 8,362.32, 11,541.96 and 6,127.44 is: 8,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.32 : 11,541.96 = 6,127.44 : x
  2. Step 2: Convert to fraction form
    8,362.32/11,541.96 = 6,127.44/x
  3. Step 3: Cross multiply
    8,362.32x = 11,541.96 × 6,127.44
  4. Step 4: Simplify right side
    8,362.32x = 70,722,667.38
  5. Step 5: Solve for x
    x = 70,722,667.38/8,362.32
  6. Step 6: Final answer
    x = 8,457.30

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Why These Related Problems?

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