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Finding the Fourth Proportional to 11,804.29, 16,289.29 and 6,498.08

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Solution

The fourth proportional to 11,804.29, 16,289.29 and 6,498.08 is: 8,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.29 : 16,289.29 = 6,498.08 : x
  2. Step 2: Convert to fraction form
    11,804.29/16,289.29 = 6,498.08/x
  3. Step 3: Cross multiply
    11,804.29x = 16,289.29 × 6,498.08
  4. Step 4: Simplify right side
    11,804.29x = 105,849,109.56
  5. Step 5: Solve for x
    x = 105,849,109.56/11,804.29
  6. Step 6: Final answer
    x = 8,967.00

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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.