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Finding the Fourth Proportional to 11,805.15, 16,291.14 and 6,500.28

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Solution

The fourth proportional to 11,805.15, 16,291.14 and 6,500.28 is: 8,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.15 : 16,291.14 = 6,500.28 : x
  2. Step 2: Convert to fraction form
    11,805.15/16,291.14 = 6,500.28/x
  3. Step 3: Cross multiply
    11,805.15x = 16,291.14 × 6,500.28
  4. Step 4: Simplify right side
    11,805.15x = 105,896,971.52
  5. Step 5: Solve for x
    x = 105,896,971.52/11,805.15
  6. Step 6: Final answer
    x = 8,970.40

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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.