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Finding the Fourth Proportional to 10,441.60, 15,676.80 and 6,553.60

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Solution

The fourth proportional to 10,441.60, 15,676.80 and 6,553.60 is: 9,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.60 : 15,676.80 = 6,553.60 : x
  2. Step 2: Convert to fraction form
    10,441.60/15,676.80 = 6,553.60/x
  3. Step 3: Cross multiply
    10,441.60x = 15,676.80 × 6,553.60
  4. Step 4: Simplify right side
    10,441.60x = 102,739,476.48
  5. Step 5: Solve for x
    x = 102,739,476.48/10,441.60
  6. Step 6: Final answer
    x = 9,839.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.