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Finding the Fourth Proportional to 11,804.00, 16,289.42 and 6,498.70

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Solution

The fourth proportional to 11,804.00, 16,289.42 and 6,498.70 is: 8,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.00 : 16,289.42 = 6,498.70 : x
  2. Step 2: Convert to fraction form
    11,804.00/16,289.42 = 6,498.70/x
  3. Step 3: Cross multiply
    11,804.00x = 16,289.42 × 6,498.70
  4. Step 4: Simplify right side
    11,804.00x = 105,859,980.54
  5. Step 5: Solve for x
    x = 105,859,980.54/11,804.00
  6. Step 6: Final answer
    x = 8,968.15

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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.