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Finding the Fourth Proportional to 10,728.79, 14,805.12 and 6,013.38

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Solution

The fourth proportional to 10,728.79, 14,805.12 and 6,013.38 is: 8,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.79 : 14,805.12 = 6,013.38 : x
  2. Step 2: Convert to fraction form
    10,728.79/14,805.12 = 6,013.38/x
  3. Step 3: Cross multiply
    10,728.79x = 14,805.12 × 6,013.38
  4. Step 4: Simplify right side
    10,728.79x = 89,028,812.51
  5. Step 5: Solve for x
    x = 89,028,812.51/10,728.79
  6. Step 6: Final answer
    x = 8,298.12

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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.