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Finding the Fourth Proportional to 11,805.84, 16,291.92 and 6,500.40

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Solution

The fourth proportional to 11,805.84, 16,291.92 and 6,500.40 is: 8,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.84 : 16,291.92 = 6,500.40 : x
  2. Step 2: Convert to fraction form
    11,805.84/16,291.92 = 6,500.40/x
  3. Step 3: Cross multiply
    11,805.84x = 16,291.92 × 6,500.40
  4. Step 4: Simplify right side
    11,805.84x = 105,903,996.77
  5. Step 5: Solve for x
    x = 105,903,996.77/11,805.84
  6. Step 6: Final answer
    x = 8,970.48

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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.