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Finding the Fourth Proportional to 10,480.71, 15,716.04 and 4,929.37

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Solution

The fourth proportional to 10,480.71, 15,716.04 and 4,929.37 is: 7,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.71 : 15,716.04 = 4,929.37 : x
  2. Step 2: Convert to fraction form
    10,480.71/15,716.04 = 4,929.37/x
  3. Step 3: Cross multiply
    10,480.71x = 15,716.04 × 4,929.37
  4. Step 4: Simplify right side
    10,480.71x = 77,470,176.09
  5. Step 5: Solve for x
    x = 77,470,176.09/10,480.71
  6. Step 6: Final answer
    x = 7,391.69

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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.