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Finding the Fourth Proportional to 10,026.24, 13,836.04 and 5,549.89

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Solution

The fourth proportional to 10,026.24, 13,836.04 and 5,549.89 is: 7,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.24 : 13,836.04 = 5,549.89 : x
  2. Step 2: Convert to fraction form
    10,026.24/13,836.04 = 5,549.89/x
  3. Step 3: Cross multiply
    10,026.24x = 13,836.04 × 5,549.89
  4. Step 4: Simplify right side
    10,026.24x = 76,788,558.86
  5. Step 5: Solve for x
    x = 76,788,558.86/10,026.24
  6. Step 6: Final answer
    x = 7,658.76

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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.