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Finding the Fourth Proportional to 10,024.79, 13,833.92 and 5,548.39

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Solution

The fourth proportional to 10,024.79, 13,833.92 and 5,548.39 is: 7,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.79 : 13,833.92 = 5,548.39 : x
  2. Step 2: Convert to fraction form
    10,024.79/13,833.92 = 5,548.39/x
  3. Step 3: Cross multiply
    10,024.79x = 13,833.92 × 5,548.39
  4. Step 4: Simplify right side
    10,024.79x = 76,755,962.67
  5. Step 5: Solve for x
    x = 76,755,962.67/10,024.79
  6. Step 6: Final answer
    x = 7,656.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.