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Finding the Fourth Proportional to 11,451.98, 15,804.31 and 6,416.21

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Solution

The fourth proportional to 11,451.98, 15,804.31 and 6,416.21 is: 8,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.98 : 15,804.31 = 6,416.21 : x
  2. Step 2: Convert to fraction form
    11,451.98/15,804.31 = 6,416.21/x
  3. Step 3: Cross multiply
    11,451.98x = 15,804.31 × 6,416.21
  4. Step 4: Simplify right side
    11,451.98x = 101,403,771.87
  5. Step 5: Solve for x
    x = 101,403,771.87/11,451.98
  6. Step 6: Final answer
    x = 8,854.69

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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.