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Finding the Fourth Proportional to 10,024.34, 13,833.81 and 6,493.69

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Solution

The fourth proportional to 10,024.34, 13,833.81 and 6,493.69 is: 8,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.34 : 13,833.81 = 6,493.69 : x
  2. Step 2: Convert to fraction form
    10,024.34/13,833.81 = 6,493.69/x
  3. Step 3: Cross multiply
    10,024.34x = 13,833.81 × 6,493.69
  4. Step 4: Simplify right side
    10,024.34x = 89,832,473.66
  5. Step 5: Solve for x
    x = 89,832,473.66/10,024.34
  6. Step 6: Final answer
    x = 8,961.44

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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.