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Finding the Fourth Proportional to 7,293.47, 10,064.99 and 4,310.38

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Solution

The fourth proportional to 7,293.47, 10,064.99 and 4,310.38 is: 5,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.47 : 10,064.99 = 4,310.38 : x
  2. Step 2: Convert to fraction form
    7,293.47/10,064.99 = 4,310.38/x
  3. Step 3: Cross multiply
    7,293.47x = 10,064.99 × 4,310.38
  4. Step 4: Simplify right side
    7,293.47x = 43,383,859.72
  5. Step 5: Solve for x
    x = 43,383,859.72/7,293.47
  6. Step 6: Final answer
    x = 5,948.32

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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.