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Finding the Fourth Proportional to 10,029.52, 13,837.02 and 6,494.68

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Solution

The fourth proportional to 10,029.52, 13,837.02 and 6,494.68 is: 8,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.52 : 13,837.02 = 6,494.68 : x
  2. Step 2: Convert to fraction form
    10,029.52/13,837.02 = 6,494.68/x
  3. Step 3: Cross multiply
    10,029.52x = 13,837.02 × 6,494.68
  4. Step 4: Simplify right side
    10,029.52x = 89,867,017.05
  5. Step 5: Solve for x
    x = 89,867,017.05/10,029.52
  6. Step 6: Final answer
    x = 8,960.25

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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.