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Finding the Fourth Proportional to 11,804.25, 16,289.25 and 6,498.05

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Solution

The fourth proportional to 11,804.25, 16,289.25 and 6,498.05 is: 8,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.25 : 16,289.25 = 6,498.05 : x
  2. Step 2: Convert to fraction form
    11,804.25/16,289.25 = 6,498.05/x
  3. Step 3: Cross multiply
    11,804.25x = 16,289.25 × 6,498.05
  4. Step 4: Simplify right side
    11,804.25x = 105,848,291.70
  5. Step 5: Solve for x
    x = 105,848,291.70/11,804.25
  6. Step 6: Final answer
    x = 8,966.96

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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.