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Finding the Fourth Proportional to 10,728.84, 16,014.89 and 9,937.36

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Solution

The fourth proportional to 10,728.84, 16,014.89 and 9,937.36 is: 14,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.84 : 16,014.89 = 9,937.36 : x
  2. Step 2: Convert to fraction form
    10,728.84/16,014.89 = 9,937.36/x
  3. Step 3: Cross multiply
    10,728.84x = 16,014.89 × 9,937.36
  4. Step 4: Simplify right side
    10,728.84x = 159,145,727.29
  5. Step 5: Solve for x
    x = 159,145,727.29/10,728.84
  6. Step 6: Final answer
    x = 14,833.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.