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Finding the Fourth Proportional to 10,727.36, 14,804.38 and 6,013.16

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Solution

The fourth proportional to 10,727.36, 14,804.38 and 6,013.16 is: 8,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.36 : 14,804.38 = 6,013.16 : x
  2. Step 2: Convert to fraction form
    10,727.36/14,804.38 = 6,013.16/x
  3. Step 3: Cross multiply
    10,727.36x = 14,804.38 × 6,013.16
  4. Step 4: Simplify right side
    10,727.36x = 89,021,105.64
  5. Step 5: Solve for x
    x = 89,021,105.64/10,727.36
  6. Step 6: Final answer
    x = 8,298.51

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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.