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Finding the Fourth Proportional to 10,024.81, 13,833.10 and 5,548.20

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Solution

The fourth proportional to 10,024.81, 13,833.10 and 5,548.20 is: 7,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.81 : 13,833.10 = 5,548.20 : x
  2. Step 2: Convert to fraction form
    10,024.81/13,833.10 = 5,548.20/x
  3. Step 3: Cross multiply
    10,024.81x = 13,833.10 × 5,548.20
  4. Step 4: Simplify right side
    10,024.81x = 76,748,776.09
  5. Step 5: Solve for x
    x = 76,748,776.09/10,024.81
  6. Step 6: Final answer
    x = 7,655.88

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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.