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Finding the Fourth Proportional to 10,635.40, 14,661.64 and 7,481.80

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Solution

The fourth proportional to 10,635.40, 14,661.64 and 7,481.80 is: 10,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.40 : 14,661.64 = 7,481.80 : x
  2. Step 2: Convert to fraction form
    10,635.40/14,661.64 = 7,481.80/x
  3. Step 3: Cross multiply
    10,635.40x = 14,661.64 × 7,481.80
  4. Step 4: Simplify right side
    10,635.40x = 109,695,458.15
  5. Step 5: Solve for x
    x = 109,695,458.15/10,635.40
  6. Step 6: Final answer
    x = 10,314.18

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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.