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Finding the Fourth Proportional to 11,451.98, 15,804.75 and 6,416.17

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Solution

The fourth proportional to 11,451.98, 15,804.75 and 6,416.17 is: 8,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.98 : 15,804.75 = 6,416.17 : x
  2. Step 2: Convert to fraction form
    11,451.98/15,804.75 = 6,416.17/x
  3. Step 3: Cross multiply
    11,451.98x = 15,804.75 × 6,416.17
  4. Step 4: Simplify right side
    11,451.98x = 101,405,991.81
  5. Step 5: Solve for x
    x = 101,405,991.81/11,451.98
  6. Step 6: Final answer
    x = 8,854.89

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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.