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Finding the Fourth Proportional to 10,538.33, 14,542.62 and 5,822.51

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Solution

The fourth proportional to 10,538.33, 14,542.62 and 5,822.51 is: 8,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.33 : 14,542.62 = 5,822.51 : x
  2. Step 2: Convert to fraction form
    10,538.33/14,542.62 = 5,822.51/x
  3. Step 3: Cross multiply
    10,538.33x = 14,542.62 × 5,822.51
  4. Step 4: Simplify right side
    10,538.33x = 84,674,550.38
  5. Step 5: Solve for x
    x = 84,674,550.38/10,538.33
  6. Step 6: Final answer
    x = 8,034.91

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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.