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Finding the Fourth Proportional to 10,479.54, 14,462.02 and 5,763.94

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Solution

The fourth proportional to 10,479.54, 14,462.02 and 5,763.94 is: 7,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.54 : 14,462.02 = 5,763.94 : x
  2. Step 2: Convert to fraction form
    10,479.54/14,462.02 = 5,763.94/x
  3. Step 3: Cross multiply
    10,479.54x = 14,462.02 × 5,763.94
  4. Step 4: Simplify right side
    10,479.54x = 83,358,215.56
  5. Step 5: Solve for x
    x = 83,358,215.56/10,479.54
  6. Step 6: Final answer
    x = 7,954.38

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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.