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Finding the Fourth Proportional to 10,024, 13,833.76 and 5,608

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Solution

The fourth proportional to 10,024, 13,833.76 and 5,608 is: 7,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024 : 13,833.76 = 5,608 : x
  2. Step 2: Convert to fraction form
    10,024/13,833.76 = 5,608/x
  3. Step 3: Cross multiply
    10,024x = 13,833.76 × 5,608
  4. Step 4: Simplify right side
    10,024x = 77,579,726.08
  5. Step 5: Solve for x
    x = 77,579,726.08/10,024
  6. Step 6: Final answer
    x = 7,739.40

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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.