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Finding the Fourth Proportional to 10,254.69, 14,151.53 and 5,778.51

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Solution

The fourth proportional to 10,254.69, 14,151.53 and 5,778.51 is: 7,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.69 : 14,151.53 = 5,778.51 : x
  2. Step 2: Convert to fraction form
    10,254.69/14,151.53 = 5,778.51/x
  3. Step 3: Cross multiply
    10,254.69x = 14,151.53 × 5,778.51
  4. Step 4: Simplify right side
    10,254.69x = 81,774,757.62
  5. Step 5: Solve for x
    x = 81,774,757.62/10,254.69
  6. Step 6: Final answer
    x = 7,974.38

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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.