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Finding the Fourth Proportional to 10,350.54, 14,284.08 and 5,635.08

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Solution

The fourth proportional to 10,350.54, 14,284.08 and 5,635.08 is: 7,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.54 : 14,284.08 = 5,635.08 : x
  2. Step 2: Convert to fraction form
    10,350.54/14,284.08 = 5,635.08/x
  3. Step 3: Cross multiply
    10,350.54x = 14,284.08 × 5,635.08
  4. Step 4: Simplify right side
    10,350.54x = 80,491,933.53
  5. Step 5: Solve for x
    x = 80,491,933.53/10,350.54
  6. Step 6: Final answer
    x = 7,776.59

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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.