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Finding the Fourth Proportional to 11,805.08, 16,290.88 and 6,499.76

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Solution

The fourth proportional to 11,805.08, 16,290.88 and 6,499.76 is: 8,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.08 : 16,290.88 = 6,499.76 : x
  2. Step 2: Convert to fraction form
    11,805.08/16,290.88 = 6,499.76/x
  3. Step 3: Cross multiply
    11,805.08x = 16,290.88 × 6,499.76
  4. Step 4: Simplify right side
    11,805.08x = 105,886,810.19
  5. Step 5: Solve for x
    x = 105,886,810.19/11,805.08
  6. Step 6: Final answer
    x = 8,969.60

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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.