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Finding the Fourth Proportional to 10,651.33, 14,699.93 and 6,403.78

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Solution

The fourth proportional to 10,651.33, 14,699.93 and 6,403.78 is: 8,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.33 : 14,699.93 = 6,403.78 : x
  2. Step 2: Convert to fraction form
    10,651.33/14,699.93 = 6,403.78/x
  3. Step 3: Cross multiply
    10,651.33x = 14,699.93 × 6,403.78
  4. Step 4: Simplify right side
    10,651.33x = 94,135,057.43
  5. Step 5: Solve for x
    x = 94,135,057.43/10,651.33
  6. Step 6: Final answer
    x = 8,837.87

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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.