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Finding the Fourth Proportional to 7,812.38, 10,781.09 and 4,275.68

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Solution

The fourth proportional to 7,812.38, 10,781.09 and 4,275.68 is: 5,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.38 : 10,781.09 = 4,275.68 : x
  2. Step 2: Convert to fraction form
    7,812.38/10,781.09 = 4,275.68/x
  3. Step 3: Cross multiply
    7,812.38x = 10,781.09 × 4,275.68
  4. Step 4: Simplify right side
    7,812.38x = 46,096,415.61
  5. Step 5: Solve for x
    x = 46,096,415.61/7,812.38
  6. Step 6: Final answer
    x = 5,900.44

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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.