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Finding the Fourth Proportional to 10,635.53, 14,661.82 and 7,481.93

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Solution

The fourth proportional to 10,635.53, 14,661.82 and 7,481.93 is: 10,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.53 : 14,661.82 = 7,481.93 : x
  2. Step 2: Convert to fraction form
    10,635.53/14,661.82 = 7,481.93/x
  3. Step 3: Cross multiply
    10,635.53x = 14,661.82 × 7,481.93
  4. Step 4: Simplify right side
    10,635.53x = 109,698,710.91
  5. Step 5: Solve for x
    x = 109,698,710.91/10,635.53
  6. Step 6: Final answer
    x = 10,314.36

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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.