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Finding the Fourth Proportional to 10,722.33, 16,088.97 and 5,106.34

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Solution

The fourth proportional to 10,722.33, 16,088.97 and 5,106.34 is: 7,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.33 : 16,088.97 = 5,106.34 : x
  2. Step 2: Convert to fraction form
    10,722.33/16,088.97 = 5,106.34/x
  3. Step 3: Cross multiply
    10,722.33x = 16,088.97 × 5,106.34
  4. Step 4: Simplify right side
    10,722.33x = 82,155,751.07
  5. Step 5: Solve for x
    x = 82,155,751.07/10,722.33
  6. Step 6: Final answer
    x = 7,662.12

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