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Finding the Fourth Proportional to 10,769.36, 16,154.20 and 7,095.12

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Solution

The fourth proportional to 10,769.36, 16,154.20 and 7,095.12 is: 10,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.36 : 16,154.20 = 7,095.12 : x
  2. Step 2: Convert to fraction form
    10,769.36/16,154.20 = 7,095.12/x
  3. Step 3: Cross multiply
    10,769.36x = 16,154.20 × 7,095.12
  4. Step 4: Simplify right side
    10,769.36x = 114,615,987.50
  5. Step 5: Solve for x
    x = 114,615,987.50/10,769.36
  6. Step 6: Final answer
    x = 10,642.79

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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.