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Finding the Fourth Proportional to 11,775.06, 16,249.89 and 6,470.16

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Solution

The fourth proportional to 11,775.06, 16,249.89 and 6,470.16 is: 8,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.06 : 16,249.89 = 6,470.16 : x
  2. Step 2: Convert to fraction form
    11,775.06/16,249.89 = 6,470.16/x
  3. Step 3: Cross multiply
    11,775.06x = 16,249.89 × 6,470.16
  4. Step 4: Simplify right side
    11,775.06x = 105,139,388.28
  5. Step 5: Solve for x
    x = 105,139,388.28/11,775.06
  6. Step 6: Final answer
    x = 8,928.99

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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.