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Finding the Fourth Proportional to 10,510.38, 14,504.31 and 5,794.68

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Solution

The fourth proportional to 10,510.38, 14,504.31 and 5,794.68 is: 7,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.38 : 14,504.31 = 5,794.68 : x
  2. Step 2: Convert to fraction form
    10,510.38/14,504.31 = 5,794.68/x
  3. Step 3: Cross multiply
    10,510.38x = 14,504.31 × 5,794.68
  4. Step 4: Simplify right side
    10,510.38x = 84,047,835.07
  5. Step 5: Solve for x
    x = 84,047,835.07/10,510.38
  6. Step 6: Final answer
    x = 7,996.65

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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.