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Finding the Fourth Proportional to 11,490.59, 15,855.28 and 6,453.84

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Solution

The fourth proportional to 11,490.59, 15,855.28 and 6,453.84 is: 8,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.59 : 15,855.28 = 6,453.84 : x
  2. Step 2: Convert to fraction form
    11,490.59/15,855.28 = 6,453.84/x
  3. Step 3: Cross multiply
    11,490.59x = 15,855.28 × 6,453.84
  4. Step 4: Simplify right side
    11,490.59x = 102,327,440.28
  5. Step 5: Solve for x
    x = 102,327,440.28/11,490.59
  6. Step 6: Final answer
    x = 8,905.33

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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.