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Finding the Fourth Proportional to 11,804.06, 16,289.42 and 6,498.74

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Solution

The fourth proportional to 11,804.06, 16,289.42 and 6,498.74 is: 8,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.06 : 16,289.42 = 6,498.74 : x
  2. Step 2: Convert to fraction form
    11,804.06/16,289.42 = 6,498.74/x
  3. Step 3: Cross multiply
    11,804.06x = 16,289.42 × 6,498.74
  4. Step 4: Simplify right side
    11,804.06x = 105,860,705.33
  5. Step 5: Solve for x
    x = 105,860,705.33/11,804.06
  6. Step 6: Final answer
    x = 8,968.16

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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.