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Finding the Fourth Proportional to 10,738.50, 16,117.80 and 5,812.01

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Solution

The fourth proportional to 10,738.50, 16,117.80 and 5,812.01 is: 8,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.50 : 16,117.80 = 5,812.01 : x
  2. Step 2: Convert to fraction form
    10,738.50/16,117.80 = 5,812.01/x
  3. Step 3: Cross multiply
    10,738.50x = 16,117.80 × 5,812.01
  4. Step 4: Simplify right side
    10,738.50x = 93,676,814.78
  5. Step 5: Solve for x
    x = 93,676,814.78/10,738.50
  6. Step 6: Final answer
    x = 8,723.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.