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Finding the Fourth Proportional to 11,805.68, 16,292.28 and 6,501.08

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Solution

The fourth proportional to 11,805.68, 16,292.28 and 6,501.08 is: 8,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.68 : 16,292.28 = 6,501.08 : x
  2. Step 2: Convert to fraction form
    11,805.68/16,292.28 = 6,501.08/x
  3. Step 3: Cross multiply
    11,805.68x = 16,292.28 × 6,501.08
  4. Step 4: Simplify right side
    11,805.68x = 105,917,415.66
  5. Step 5: Solve for x
    x = 105,917,415.66/11,805.68
  6. Step 6: Final answer
    x = 8,971.73

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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.