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Finding the Fourth Proportional to 10,765.24, 14,851.87 and 7,939.29

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Solution

The fourth proportional to 10,765.24, 14,851.87 and 7,939.29 is: 10,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.24 : 14,851.87 = 7,939.29 : x
  2. Step 2: Convert to fraction form
    10,765.24/14,851.87 = 7,939.29/x
  3. Step 3: Cross multiply
    10,765.24x = 14,851.87 × 7,939.29
  4. Step 4: Simplify right side
    10,765.24x = 117,913,302.97
  5. Step 5: Solve for x
    x = 117,913,302.97/10,765.24
  6. Step 6: Final answer
    x = 10,953.15

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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.