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Finding the Fourth Proportional to 10,024.74, 13,833.23 and 5,548.38

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Solution

The fourth proportional to 10,024.74, 13,833.23 and 5,548.38 is: 7,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.74 : 13,833.23 = 5,548.38 : x
  2. Step 2: Convert to fraction form
    10,024.74/13,833.23 = 5,548.38/x
  3. Step 3: Cross multiply
    10,024.74x = 13,833.23 × 5,548.38
  4. Step 4: Simplify right side
    10,024.74x = 76,751,988.93
  5. Step 5: Solve for x
    x = 76,751,988.93/10,024.74
  6. Step 6: Final answer
    x = 7,656.26

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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.