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Finding the Fourth Proportional to 11,115.68, 15,313.26 and 7,752.38

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Solution

The fourth proportional to 11,115.68, 15,313.26 and 7,752.38 is: 10,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.68 : 15,313.26 = 7,752.38 : x
  2. Step 2: Convert to fraction form
    11,115.68/15,313.26 = 7,752.38/x
  3. Step 3: Cross multiply
    11,115.68x = 15,313.26 × 7,752.38
  4. Step 4: Simplify right side
    11,115.68x = 118,714,210.56
  5. Step 5: Solve for x
    x = 118,714,210.56/11,115.68
  6. Step 6: Final answer
    x = 10,679.89

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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.